Abstract group data - 640.19151

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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': '32.45', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 20, 'aut_gen_orders': [4, 2, 4, 4, 10, 2, 4], 'aut_gens': [[64801, 576071, 1984831, 1504171, 112891], [1344821, 1856691, 1984831, 2145141, 720241], [64801, 1216941, 1984831, 864481, 112731], [64801, 1217581, 1984831, 1504651, 720561], [1984031, 576071, 1984831, 1504971, 113051], [1344821, 2496761, 1984831, 225471, 1392911], [64801, 1857011, 1984831, 224031, 112731], [1344821, 576871, 1984831, 1504971, 721361]], 'aut_group': None, 'aut_hash': 8212277918716637030, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 40960, 'aut_permdeg': 56, 'aut_perms': [661514423886058076216013207114250184720797799961372902167526092463753162026, 672325676679091313302178013864311740851464373907881859486103949727039473048, 710776475723053259034951110771202803528151569378626426914663383424479949943, 84965906191809193816465867327727704641010307307201044137330869906572445627, 493187535359414995274039201424211024265213134496050459098484834230733481162, 168032451326454673599013597133284111852313415277640391194799202494066485063, 475874162103534761109503653193298906141757188998098147724536586722518146173], 'aut_phi_ratio': 160.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 1, 4, 1], [2, 4, 2, 1], [2, 5, 1, 4], [2, 5, 4, 1], [2, 20, 2, 1], [4, 2, 4, 1], [4, 4, 2, 1], [4, 10, 4, 5], [4, 20, 2, 5], [5, 4, 1, 1], [10, 4, 1, 3], [10, 4, 4, 1], [10, 8, 4, 1], [20, 8, 4, 2]], 'aut_supersolvable': True, 'aut_tex': 'C_5:(C_4\\times C_2^8.C_2^3)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': None, 'autcent_hash': 8092891664598236742, 'autcent_nilpotent': True, 'autcent_order': 2048, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^8.C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 20, 'autcentquo_group': '20.3', 'autcentquo_hash': 3, 'autcentquo_nilpotent': False, 'autcentquo_order': 20, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_5', 'cc_stats': [[1, 1, 1], [2, 1, 7], [2, 4, 2], [2, 5, 8], [2, 20, 2], [4, 2, 4], [4, 4, 2], [4, 10, 20], [4, 20, 10], [5, 4, 1], [10, 4, 7], [10, 8, 4], [20, 8, 8]], 'center_label': '8.5', 'center_order': 8, 'central_product': True, 'central_quotient': '80.50', 'commutator_count': 1, 'commutator_label': '20.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '5.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 19151, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['320.1038', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [2, 4, 1, 2], [2, 5, 1, 8], [2, 20, 1, 2], [4, 2, 2, 2], [4, 4, 1, 2], [4, 10, 2, 10], [4, 20, 1, 2], [4, 20, 2, 4], [5, 4, 1, 1], [10, 4, 1, 7], [10, 8, 2, 2], [20, 8, 2, 4]], 'element_repr_type': 'GLZN', 'elementary': 1, 'eulerian_function': 1249920, 'exponent': 20, 'exponents_of_order': [7, 1], 'factors_of_aut_order': [2, 5], 'factors_of_order': [2, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '160.236', 'hash': 19151, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 20, 'inner_gen_orders': [1, 2, 1, 4, 10], 'inner_gens': [[64801, 576071, 1984831, 1504171, 112891], [64801, 576071, 1984831, 224191, 2001541], [64801, 576071, 1984831, 1504171, 112891], [64801, 1856851, 1984831, 1504171, 112251], [64801, 2497401, 1984831, 1504811, 112891]], 'inner_hash': 50, 'inner_nilpotent': False, 'inner_order': 80, 'inner_split': False, 'inner_tex': 'C_2^2\\times F_5', 'inner_used': [2, 4, 5], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 32], [2, 24], [4, 16], [8, 4]], 'label': '640.19151', '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': True, 'metacyclic': False, 'monomial': True, 'name': 'D10.(C4*D4)', 'ngens': 8, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 32, 'number_characteristic_subgroups': 54, 'number_conjugacy_classes': 76, 'number_divisions': 54, 'number_normal_subgroups': 226, 'number_subgroup_autclasses': 378, 'number_subgroup_classes': 928, 'number_subgroups': 4688, 'old_label': None, 'order': 640, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 95], [4, 416], [5, 4], [10, 60], [20, 64]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [4, 2, 4, 4, 2, 4], 'outer_gen_pows': [64001, 576001, 64961, 64001, 576641, 64001], 'outer_gens': [[1984031, 2497081, 1984831, 1505131, 2001381], [64801, 2496281, 1984831, 224351, 2001381], [704011, 1856531, 1984831, 865281, 720081], [704011, 576231, 1984831, 224831, 112251], [64801, 1216461, 1984831, 864161, 2000261], [1344821, 577031, 1984831, 1504811, 2001061]], 'outer_group': '512.752493', 'outer_hash': 7064241158567032655, 'outer_nilpotent': True, 'outer_order': 512, 'outer_permdeg': 64, 'outer_perms': [113385620764050802804782396285067162741423442538282616704425570297622113009630783225300137, 39752678459336177172150343515184337514444191040283920917006870808238230516356051276292261, 31097343862239644220695170975588800269971247221626124145187476750758630602601519339405740, 83699688203899273525730994533414787676497905588509753998420127555078205660038259896872409, 33818556096251790965136806067670261354999154329636491266385493997836660572026916710698899, 86967233660349148774030013497618780847493799603168552626907236199004572390329447950021981], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^4.C_2^5', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 4], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 16], [4, 16], [8, 4], [16, 2]], 'representations': {'PC': {'code': '31967985302789130607066005006672587434609250664451', 'gens': [1, 2, 3, 4, 6], 'pres': [8, 2, 2, 2, 2, 2, 2, 2, 5, 5259, 91, 7021, 2525, 901, 141, 16142, 1374, 2054, 166, 16399, 3103, 2087]}, 'GLZN': {'d': 2, 'p': 40, 'gens': [113211, 64801, 113411, 2000421, 1344021, 576001, 64321, 480491]}, 'Perm': {'d': 15, 'gens': [7185388445, 12494321289, 368049, 374416, 16, 11536, 19678982400, 93924230400]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 4], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 4], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_{10}.(C_4\\times D_4)', 'transitive_degree': 160, '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: 176326748
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 19151, 'group_order': 640, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 64001, 'size': 1}
  • id: 176326759
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 19151, 'group_order': 640, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 1344021, 'size': 1}
  • id: 176326770
    {'aut_label': '2B', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 19151, 'group_order': 640, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 704811, 'size': 1}
  • id: 176326781
    {'aut_label': '2C', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 19151, 'group_order': 640, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 1984831, 'size': 1}
  • id: 176326792
    {'aut_label': '2D', 'centralizer': '1.a1', 'counter': 5, 'group_counter': 19151, 'group_order': 640, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 64801, 'size': 1}
  • id: 176326803
    {'aut_label': '2D', 'centralizer': '1.a1', 'counter': 6, 'group_counter': 19151, 'group_order': 640, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 1344821, 'size': 1}
  • id: 176326814
    {'aut_label': '2D', 'centralizer': '1.a1', 'counter': 7, 'group_counter': 19151, 'group_order': 640, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 1984031, 'size': 1}
  • id: 176326822
    {'aut_label': '2D', 'centralizer': '1.a1', 'counter': 8, 'group_counter': 19151, 'group_order': 640, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 704011, 'size': 1}
  • id: 176326823
    {'aut_label': '2H', 'centralizer': '4.a1', 'counter': 9, 'group_counter': 19151, 'group_order': 640, 'label': '2H', 'order': 2, 'powers': [1, 9], 'representative': 65031, 'size': 4}
  • id: 176326749
    {'aut_label': '2H', 'centralizer': '4.a1', 'counter': 10, 'group_counter': 19151, 'group_order': 640, 'label': '2I', 'order': 2, 'powers': [1, 10], 'representative': 64231, 'size': 4}
  • id: 176326750
    {'aut_label': '2J', 'centralizer': '5.a1', 'counter': 11, 'group_counter': 19151, 'group_order': 640, 'label': '2J', 'order': 2, 'powers': [1, 11], 'representative': 577441, 'size': 5}
  • id: 176326751
    {'aut_label': '2K', 'centralizer': '5.a1', 'counter': 12, 'group_counter': 19151, 'group_order': 640, 'label': '2K', 'order': 2, 'powers': [1, 12], 'representative': 1216811, 'size': 5}
  • id: 176326752
    {'aut_label': '2J', 'centralizer': '5.a1', 'counter': 13, 'group_counter': 19151, 'group_order': 640, 'label': '2L', 'order': 2, 'powers': [1, 13], 'representative': 1856821, 'size': 5}
  • id: 176326753
    {'aut_label': '2J', 'centralizer': '5.a1', 'counter': 14, 'group_counter': 19151, 'group_order': 640, 'label': '2M', 'order': 2, 'powers': [1, 14], 'representative': 2496671, 'size': 5}
  • id: 176326754
    {'aut_label': '2J', 'centralizer': '5.a1', 'counter': 15, 'group_counter': 19151, 'group_order': 640, 'label': '2N', 'order': 2, 'powers': [1, 15], 'representative': 1216011, 'size': 5}
  • id: 176326755
    {'aut_label': '2O', 'centralizer': '5.a1', 'counter': 16, 'group_counter': 19151, 'group_order': 640, 'label': '2O', 'order': 2, 'powers': [1, 16], 'representative': 576641, 'size': 5}
  • id: 176326756
    {'aut_label': '2P', 'centralizer': '5.a1', 'counter': 17, 'group_counter': 19151, 'group_order': 640, 'label': '2P', 'order': 2, 'powers': [1, 17], 'representative': 1856981, 'size': 5}
  • id: 176326757
    {'aut_label': '2Q', 'centralizer': '5.a1', 'counter': 18, 'group_counter': 19151, 'group_order': 640, 'label': '2Q', 'order': 2, 'powers': [1, 18], 'representative': 2496511, 'size': 5}
  • id: 176326758
    {'aut_label': '2R', 'centralizer': '20.b1', 'counter': 19, 'group_counter': 19151, 'group_order': 640, 'label': '2R', 'order': 2, 'powers': [1, 19], 'representative': 576071, 'size': 20}
  • id: 176326760
    {'aut_label': '2R', 'centralizer': '20.b1', 'counter': 20, 'group_counter': 19151, 'group_order': 640, 'label': '2S', 'order': 2, 'powers': [1, 20], 'representative': 576871, 'size': 20}
  • id: 176326761
    {'aut_label': '4A1', 'centralizer': '2.d1', 'counter': 21, 'group_counter': 19151, 'group_order': 640, 'label': '4A1', 'order': 4, 'powers': [2, 21], 'representative': 113211, 'size': 2}
  • id: 176326762
    {'aut_label': '4A1', 'centralizer': '2.d1', 'counter': 22, 'group_counter': 19151, 'group_order': 640, 'label': '4A-1', 'order': 4, 'powers': [2, 22], 'representative': 1393231, 'size': 2}
  • id: 176326763
    {'aut_label': '4A1', 'centralizer': '2.d1', 'counter': 23, 'group_counter': 19151, 'group_order': 640, 'label': '4B1', 'order': 4, 'powers': [2, 23], 'representative': 112411, 'size': 2}
  • id: 176326764
    {'aut_label': '4A1', 'centralizer': '2.d1', 'counter': 24, 'group_counter': 19151, 'group_order': 640, 'label': '4B-1', 'order': 4, 'powers': [2, 24], 'representative': 1392431, 'size': 2}
  • id: 176326765
    {'aut_label': '4C', 'centralizer': '4.e1', 'counter': 25, 'group_counter': 19151, 'group_order': 640, 'label': '4C', 'order': 4, 'powers': [3, 25], 'representative': 113411, 'size': 4}
  • id: 176326766
    {'aut_label': '4C', 'centralizer': '4.e1', 'counter': 26, 'group_counter': 19151, 'group_order': 640, 'label': '4D', 'order': 4, 'powers': [3, 26], 'representative': 112611, 'size': 4}
  • id: 176326767
    {'aut_label': '4E1', 'centralizer': '10.d1', 'counter': 27, 'group_counter': 19151, 'group_order': 640, 'label': '4E1', 'order': 4, 'powers': [16, 27], 'representative': 1504171, 'size': 10}
  • id: 176326768
    {'aut_label': '4E-1', 'centralizer': '10.d1', 'counter': 28, 'group_counter': 19151, 'group_order': 640, 'label': '4E-1', 'order': 4, 'powers': [16, 28], 'representative': 480491, 'size': 10}
  • id: 176326769
    {'aut_label': '4F1', 'centralizer': '10.d1', 'counter': 29, 'group_counter': 19151, 'group_order': 640, 'label': '4F1', 'order': 4, 'powers': [2, 29], 'representative': 625531, 'size': 10}
  • id: 176326771
    {'aut_label': '4F1', 'centralizer': '10.d1', 'counter': 30, 'group_counter': 19151, 'group_order': 640, 'label': '4F-1', 'order': 4, 'powers': [2, 30], 'representative': 1904911, 'size': 10}
  • id: 176326772
    {'aut_label': '4G1', 'centralizer': '10.d1', 'counter': 31, 'group_counter': 19151, 'group_order': 640, 'label': '4G1', 'order': 4, 'powers': [17, 31], 'representative': 1520241, 'size': 10}
  • id: 176326773
    {'aut_label': '4G-1', 'centralizer': '10.d1', 'counter': 32, 'group_counter': 19151, 'group_order': 640, 'label': '4G-1', 'order': 4, 'powers': [17, 32], 'representative': 1777541, 'size': 10}
  • id: 176326774
    {'aut_label': '4E1', 'centralizer': '10.d1', 'counter': 33, 'group_counter': 19151, 'group_order': 640, 'label': '4H1', 'order': 4, 'powers': [16, 33], 'representative': 2144981, 'size': 10}
  • id: 176326775
    {'aut_label': '4E-1', 'centralizer': '10.d1', 'counter': 34, 'group_counter': 19151, 'group_order': 640, 'label': '4H-1', 'order': 4, 'powers': [16, 34], 'representative': 1121301, 'size': 10}
  • id: 176326776
    {'aut_label': '4E1', 'centralizer': '10.d1', 'counter': 35, 'group_counter': 19151, 'group_order': 640, 'label': '4I1', 'order': 4, 'powers': [16, 35], 'representative': 1504971, 'size': 10}
  • id: 176326777
    {'aut_label': '4E-1', 'centralizer': '10.d1', 'counter': 36, 'group_counter': 19151, 'group_order': 640, 'label': '4I-1', 'order': 4, 'powers': [16, 36], 'representative': 481291, 'size': 10}
  • id: 176326778
    {'aut_label': '4G1', 'centralizer': '10.d1', 'counter': 37, 'group_counter': 19151, 'group_order': 640, 'label': '4J1', 'order': 4, 'powers': [17, 37], 'representative': 241221, 'size': 10}
  • id: 176326779
    {'aut_label': '4G-1', 'centralizer': '10.d1', 'counter': 38, 'group_counter': 19151, 'group_order': 640, 'label': '4J-1', 'order': 4, 'powers': [17, 38], 'representative': 496561, 'size': 10}
  • id: 176326780
    {'aut_label': '4F1', 'centralizer': '10.d1', 'counter': 39, 'group_counter': 19151, 'group_order': 640, 'label': '4K1', 'order': 4, 'powers': [2, 39], 'representative': 624731, 'size': 10}
  • id: 176326782
    {'aut_label': '4F1', 'centralizer': '10.d1', 'counter': 40, 'group_counter': 19151, 'group_order': 640, 'label': '4K-1', 'order': 4, 'powers': [2, 40], 'representative': 1904111, 'size': 10}
  • id: 176326783
    {'aut_label': '4G1', 'centralizer': '10.d1', 'counter': 41, 'group_counter': 19151, 'group_order': 640, 'label': '4L1', 'order': 4, 'powers': [17, 41], 'representative': 1521041, 'size': 10}
  • id: 176326784
    {'aut_label': '4G-1', 'centralizer': '10.d1', 'counter': 42, 'group_counter': 19151, 'group_order': 640, 'label': '4L-1', 'order': 4, 'powers': [17, 42], 'representative': 1776741, 'size': 10}
  • id: 176326785
    {'aut_label': '4E1', 'centralizer': '10.d1', 'counter': 43, 'group_counter': 19151, 'group_order': 640, 'label': '4M1', 'order': 4, 'powers': [16, 43], 'representative': 2144181, 'size': 10}
  • id: 176326786
    {'aut_label': '4E-1', 'centralizer': '10.d1', 'counter': 44, 'group_counter': 19151, 'group_order': 640, 'label': '4M-1', 'order': 4, 'powers': [16, 44], 'representative': 1120501, 'size': 10}
  • id: 176326787
    {'aut_label': '4G1', 'centralizer': '10.d1', 'counter': 45, 'group_counter': 19151, 'group_order': 640, 'label': '4N1', 'order': 4, 'powers': [17, 45], 'representative': 240421, 'size': 10}
  • id: 176326788
    {'aut_label': '4G-1', 'centralizer': '10.d1', 'counter': 46, 'group_counter': 19151, 'group_order': 640, 'label': '4N-1', 'order': 4, 'powers': [17, 46], 'representative': 497361, 'size': 10}
  • id: 176326789
    {'aut_label': '4O', 'centralizer': '20.e1', 'counter': 47, 'group_counter': 19151, 'group_order': 640, 'label': '4O', 'order': 4, 'powers': [3, 47], 'representative': 624131, 'size': 20}
  • id: 176326790
    {'aut_label': '4O', 'centralizer': '20.e1', 'counter': 48, 'group_counter': 19151, 'group_order': 640, 'label': '4P', 'order': 4, 'powers': [3, 48], 'representative': 624931, 'size': 20}
  • id: 176326791
    {'aut_label': '4Q1', 'centralizer': '20.h1', 'counter': 49, 'group_counter': 19151, 'group_order': 640, 'label': '4Q1', 'order': 4, 'powers': [17, 49], 'representative': 481081, 'size': 20}
  • id: 176326793
    {'aut_label': '4Q-1', 'centralizer': '20.h1', 'counter': 50, 'group_counter': 19151, 'group_order': 640, 'label': '4Q-1', 'order': 4, 'powers': [17, 50], 'representative': 1504761, 'size': 20}
  • id: 176326794
    {'aut_label': '4R1', 'centralizer': '20.i1', 'counter': 51, 'group_counter': 19151, 'group_order': 640, 'label': '4R1', 'order': 4, 'powers': [18, 51], 'representative': 496381, 'size': 20}
  • id: 176326795
    {'aut_label': '4R-1', 'centralizer': '20.i1', 'counter': 52, 'group_counter': 19151, 'group_order': 640, 'label': '4R-1', 'order': 4, 'powers': [18, 52], 'representative': 1520061, 'size': 20}
  • id: 176326796
    {'aut_label': '4Q1', 'centralizer': '20.h1', 'counter': 53, 'group_counter': 19151, 'group_order': 640, 'label': '4S1', 'order': 4, 'powers': [17, 53], 'representative': 480281, 'size': 20}
  • id: 176326797
    {'aut_label': '4Q-1', 'centralizer': '20.h1', 'counter': 54, 'group_counter': 19151, 'group_order': 640, 'label': '4S-1', 'order': 4, 'powers': [17, 54], 'representative': 1505561, 'size': 20}
  • id: 176326798
    {'aut_label': '4R1', 'centralizer': '20.i1', 'counter': 55, 'group_counter': 19151, 'group_order': 640, 'label': '4T1', 'order': 4, 'powers': [18, 55], 'representative': 497181, 'size': 20}
  • id: 176326799
    {'aut_label': '4R-1', 'centralizer': '20.i1', 'counter': 56, 'group_counter': 19151, 'group_order': 640, 'label': '4T-1', 'order': 4, 'powers': [18, 56], 'representative': 1520861, 'size': 20}
  • id: 176326800
    {'aut_label': '5A', 'centralizer': '4.b1', 'counter': 57, 'group_counter': 19151, 'group_order': 640, 'label': '5A', 'order': 5, 'powers': [57, 1], 'representative': 64641, 'size': 4}
  • id: 176326801
    {'aut_label': '10A', 'centralizer': '4.b1', 'counter': 58, 'group_counter': 19151, 'group_order': 640, 'label': '10A', 'order': 10, 'powers': [57, 4], 'representative': 1985151, 'size': 4}
  • id: 176326802
    {'aut_label': '10B', 'centralizer': '4.b1', 'counter': 59, 'group_counter': 19151, 'group_order': 640, 'label': '10B', 'order': 10, 'powers': [57, 5], 'representative': 65121, 'size': 4}
  • id: 176326804
    {'aut_label': '10B', 'centralizer': '4.b1', 'counter': 60, 'group_counter': 19151, 'group_order': 640, 'label': '10C', 'order': 10, 'powers': [57, 6], 'representative': 1344181, 'size': 4}
  • id: 176326805
    {'aut_label': '10B', 'centralizer': '4.b1', 'counter': 61, 'group_counter': 19151, 'group_order': 640, 'label': '10D', 'order': 10, 'powers': [57, 7], 'representative': 1984351, 'size': 4}
  • id: 176326806
    {'aut_label': '10B', 'centralizer': '4.b1', 'counter': 62, 'group_counter': 19151, 'group_order': 640, 'label': '10E', 'order': 10, 'powers': [57, 8], 'representative': 704971, 'size': 4}
  • id: 176326807
    {'aut_label': '10F', 'centralizer': '4.b1', 'counter': 63, 'group_counter': 19151, 'group_order': 640, 'label': '10F', 'order': 10, 'powers': [57, 2], 'representative': 1344981, 'size': 4}
  • id: 176326808
    {'aut_label': '10G', 'centralizer': '4.b1', 'counter': 64, 'group_counter': 19151, 'group_order': 640, 'label': '10G', 'order': 10, 'powers': [57, 3], 'representative': 704171, 'size': 4}
  • id: 176326809
    {'aut_label': '10H1', 'centralizer': '8.a1', 'counter': 65, 'group_counter': 19151, 'group_order': 640, 'label': '10H1', 'order': 10, 'powers': [57, 9], 'representative': 65351, 'size': 8}
  • id: 176326810
    {'aut_label': '10H1', 'centralizer': '8.a1', 'counter': 66, 'group_counter': 19151, 'group_order': 640, 'label': '10H3', 'order': 10, 'powers': [57, 9], 'representative': 64071, 'size': 8}
  • id: 176326811
    {'aut_label': '10H1', 'centralizer': '8.a1', 'counter': 67, 'group_counter': 19151, 'group_order': 640, 'label': '10I1', 'order': 10, 'powers': [57, 10], 'representative': 64551, 'size': 8}
  • id: 176326812
    {'aut_label': '10H1', 'centralizer': '8.a1', 'counter': 68, 'group_counter': 19151, 'group_order': 640, 'label': '10I3', 'order': 10, 'powers': [57, 10], 'representative': 64871, 'size': 8}
  • id: 176326813
    {'aut_label': '20A1', 'centralizer': '8.d1', 'counter': 69, 'group_counter': 19151, 'group_order': 640, 'label': '20A1', 'order': 20, 'powers': [63, 21], 'representative': 112891, 'size': 8}
  • id: 176326815
    {'aut_label': '20A1', 'centralizer': '8.d1', 'counter': 70, 'group_counter': 19151, 'group_order': 640, 'label': '20A-1', 'order': 20, 'powers': [63, 22], 'representative': 1392271, 'size': 8}
  • id: 176326816
    {'aut_label': '20A1', 'centralizer': '8.d1', 'counter': 71, 'group_counter': 19151, 'group_order': 640, 'label': '20B1', 'order': 20, 'powers': [63, 23], 'representative': 112091, 'size': 8}
  • id: 176326817
    {'aut_label': '20A1', 'centralizer': '8.d1', 'counter': 72, 'group_counter': 19151, 'group_order': 640, 'label': '20B-1', 'order': 20, 'powers': [63, 24], 'representative': 1393071, 'size': 8}
  • id: 176326818
    {'aut_label': '20C1', 'centralizer': '8.e1', 'counter': 73, 'group_counter': 19151, 'group_order': 640, 'label': '20C1', 'order': 20, 'powers': [64, 25], 'representative': 113091, 'size': 8}
  • id: 176326819
    {'aut_label': '20C1', 'centralizer': '8.e1', 'counter': 74, 'group_counter': 19151, 'group_order': 640, 'label': '20C-1', 'order': 20, 'powers': [64, 25], 'representative': 112451, 'size': 8}
  • id: 176326820
    {'aut_label': '20C1', 'centralizer': '8.e1', 'counter': 75, 'group_counter': 19151, 'group_order': 640, 'label': '20D1', 'order': 20, 'powers': [64, 26], 'representative': 112291, 'size': 8}
  • id: 176326821
    {'aut_label': '20C1', 'centralizer': '8.e1', 'counter': 76, 'group_counter': 19151, 'group_order': 640, 'label': '20D-1', 'order': 20, 'powers': [64, 26], 'representative': 113251, 'size': 8}
• gps_qchar •

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

  
  
  • id: 18445383
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 18445394
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 18445405
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 18445416
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1], 'schur_index': 1}
  • id: 18445427
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1], 'schur_index': 1}
  • id: 18445433
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 18445434
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 18445435
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 18445436
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1i', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 18445384
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1j', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 18445385
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1k', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 18445386
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1l', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 18445387
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1m', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 18445388
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1n', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 18445389
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1o', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 18445390
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1p', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 18445391
    {'cdim': 1, 'counter': 17, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1q', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 2, -2, 2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, 2, 2, -2, 2, -2, -2, 2], 'schur_index': 1}
  • id: 18445392
    {'cdim': 1, 'counter': 18, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1r', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 2, -2, 2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, -2, 2, 2, -2], 'schur_index': 1}
  • id: 18445393
    {'cdim': 1, 'counter': 19, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1s', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2, -2, 2, -2, -2, 2, -2, -2, 2, 2, -2, 2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 2, -2, 2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2], 'schur_index': 1}
  • id: 18445395
    {'cdim': 1, 'counter': 20, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1t', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 2, -2, 2, -2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2], 'schur_index': 1}
  • id: 18445396
    {'cdim': 1, 'counter': 21, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1u', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, 2], 'schur_index': 1}
  • id: 18445397
    {'cdim': 1, 'counter': 22, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1v', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2], 'schur_index': 1}
  • id: 18445398
    {'cdim': 1, 'counter': 23, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1w', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2], 'schur_index': 1}
  • id: 18445399
    {'cdim': 1, 'counter': 24, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.1x', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
  • id: 18445400
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, -2, 2, 2, 2, -2, 0, 0, -2, 2, -2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 2, 0, -2, -2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445401
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, -2, 2, 2, 2, -2, 0, 0, -2, 2, -2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, -2, 0, 2, 2, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445402
    {'cdim': 2, 'counter': 27, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.2c', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, -2, 2, 2, 0, 0, -2, 2, -2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445403
    {'cdim': 2, 'counter': 28, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.2d', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, -2, 2, 2, 0, 0, -2, 2, -2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445404
    {'cdim': 2, 'counter': 29, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.2e', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 2, -2, -2, 2, 0, 0, -2, -2, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, -2, 0, 2, 2, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445406
    {'cdim': 2, 'counter': 30, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.2f', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 2, -2, -2, 2, 0, 0, -2, -2, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, -2, -2, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445407
    {'cdim': 2, 'counter': 31, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.2g', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, 2, -2, -2, 0, 0, -2, -2, 2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445408
    {'cdim': 2, 'counter': 32, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.2h', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, 2, -2, -2, 0, 0, -2, -2, 2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445409
    {'cdim': 2, 'counter': 33, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.2i', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, -4, -4, 4, 4, 4, -4, 0, 0, 4, -4, 4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, -4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445410
    {'cdim': 2, 'counter': 34, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.2j', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, -4, 4, 4, 0, 0, 4, -4, 4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445411
    {'cdim': 2, 'counter': 35, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.2k', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 4, -4, -4, 4, 0, 0, 4, 4, -4, -4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445412
    {'cdim': 2, 'counter': 36, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.2l', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -4, 4, -4, -4, 0, 0, 4, 4, -4, 4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445413
    {'cdim': 2, 'counter': 37, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.2m', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, -4, 4, 0, 0, -4, 4, 4, 4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445414
    {'cdim': 2, 'counter': 38, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.2n', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, -4, 4, 0, 0, 4, -4, -4, -4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445415
    {'cdim': 2, 'counter': 39, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.2o', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, 4, 4, -4, -4, -4, 4, -4, 0, 0, -4, -4, -4, 4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445417
    {'cdim': 2, 'counter': 40, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.2p', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, 4, 4, -4, -4, -4, 4, -4, 0, 0, 4, 4, 4, -4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445418
    {'cdim': 4, 'counter': 41, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.4a', 'multiplicity': 1, 'nt': [5, 3], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 18445419
    {'cdim': 4, 'counter': 42, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.4b', 'multiplicity': 1, 'nt': [10, 5], 'qdim': 4, 'qvalues': [4, 4, -4, 4, 4, -4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1], 'schur_index': 1}
  • id: 18445420
    {'cdim': 4, 'counter': 43, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.4c', 'multiplicity': 1, 'nt': [10, 5], 'qdim': 4, 'qvalues': [4, 4, -4, 4, 4, -4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 18445421
    {'cdim': 4, 'counter': 44, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.4d', 'multiplicity': 1, 'nt': [10, 5], 'qdim': 4, 'qvalues': [4, 4, -4, 4, 4, -4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 18445422
    {'cdim': 4, 'counter': 45, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.4e', 'multiplicity': 1, 'nt': [10, 5], 'qdim': 4, 'qvalues': [4, 4, -4, 4, 4, -4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 18445423
    {'cdim': 4, 'counter': 46, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.4f', 'multiplicity': 1, 'nt': [10, 5], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 18445424
    {'cdim': 4, 'counter': 47, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.4g', 'multiplicity': 1, 'nt': [10, 5], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 18445425
    {'cdim': 4, 'counter': 48, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.4h', 'multiplicity': 1, 'nt': [10, 5], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 18445429
    {'cdim': 8, 'counter': 51, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.8a', 'multiplicity': 1, 'nt': [20, 42], 'qdim': 8, 'qvalues': [8, -8, -8, -8, 8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445430
    {'cdim': 8, 'counter': 52, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.8b', 'multiplicity': 1, 'nt': [20, 42], 'qdim': 8, 'qvalues': [8, -8, -8, 8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445431
    {'cdim': 8, 'counter': 53, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.8c', 'multiplicity': 1, 'nt': [20, 42], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445432
    {'cdim': 8, 'counter': 54, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.8d', 'multiplicity': 1, 'nt': [20, 42], 'qdim': 8, 'qvalues': [8, -8, 8, 8, -8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445426
    {'cdim': 4, 'counter': 49, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.4i', 'multiplicity': 4, 'nt': [40, 105], 'qdim': 16, 'qvalues': [16, 16, -16, -16, -16, 16, -16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 18445428
    {'cdim': 4, 'counter': 50, 'faithful': False, 'group': '640.19151', 'group_order': 640, 'image': None, 'label': '640.19151.4j', 'multiplicity': 4, 'nt': [40, 105], 'qdim': 16, 'qvalues': [16, 16, 16, -16, -16, -16, 16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, -4, 4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

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

  
  
  • id: 39675386
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 640, 'label': '640.19151.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 39675397
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.h1', 'kernel_order': 320, 'label': '640.19151.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 39675408
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.h1', 'kernel_order': 320, 'label': '640.19151.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 39675419
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.h1', 'kernel_order': 320, 'label': '640.19151.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 39675430
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.h1', 'kernel_order': 320, 'label': '640.19151.1e', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 39675441
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.h1', 'kernel_order': 320, 'label': '640.19151.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 39675452
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.h1', 'kernel_order': 320, 'label': '640.19151.1g', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 39675460
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.h1', 'kernel_order': 320, 'label': '640.19151.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 39675461
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 9, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.h1', 'kernel_order': 320, 'label': '640.19151.1i', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 39675387
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 10, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.g1', 'kernel_order': 320, 'label': '640.19151.1j', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 39675388
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  • id: 39675389
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 12, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1', 'kernel_order': 320, 'label': '640.19151.1l', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 39675390
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  • id: 39675391
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 14, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 320, 'label': '640.19151.1n', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 39675392
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 15, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 320, 'label': '640.19151.1o', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 39675393
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 16, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 320, 'label': '640.19151.1p', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 39675394
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 17, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.l1', 'kernel_order': 160, 'label': '640.19151.1q1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 39675395
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  • id: 39675396
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  • id: 39675398
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  • id: 39675399
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  • id: 39675400
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 22, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.l1', 'kernel_order': 160, 'label': '640.19151.1s2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 39675401
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 23, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.l1', 'kernel_order': 160, 'label': '640.19151.1t1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 39675402
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 24, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.l1', 'kernel_order': 160, 'label': '640.19151.1t2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 39675403
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 25, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.k1', 'kernel_order': 160, 'label': '640.19151.1u1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 39675404
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 26, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.k1', 'kernel_order': 160, 'label': '640.19151.1u2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 39675405
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 27, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.j1', 'kernel_order': 160, 'label': '640.19151.1v1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 39675406
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 28, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.j1', 'kernel_order': 160, 'label': '640.19151.1v2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 39675407
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 29, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 160, 'label': '640.19151.1w1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 39675409
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 30, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 160, 'label': '640.19151.1w2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 39675410
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 31, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1', 'kernel_order': 160, 'label': '640.19151.1x1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 39675411
    {'center': '1.a1', 'center_index': 1, 'center_order': 640, 'counter': 32, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1', 'kernel_order': 160, 'label': '640.19151.1x2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 39675412
    {'center': '4.g1', 'center_index': 4, 'center_order': 160, 'counter': 33, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.w1', 'kernel_order': 80, 'label': '640.19151.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39675413
    {'center': '4.g1', 'center_index': 4, 'center_order': 160, 'counter': 34, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.w1', 'kernel_order': 80, 'label': '640.19151.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39675414
    {'center': '4.f1', 'center_index': 4, 'center_order': 160, 'counter': 35, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.v1', 'kernel_order': 80, 'label': '640.19151.2c', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39675415
    {'center': '4.f1', 'center_index': 4, 'center_order': 160, 'counter': 36, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.v1', 'kernel_order': 80, 'label': '640.19151.2d', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39675416
    {'center': '4.g1', 'center_index': 4, 'center_order': 160, 'counter': 37, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.w1', 'kernel_order': 80, 'label': '640.19151.2e', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39675417
    {'center': '4.g1', 'center_index': 4, 'center_order': 160, 'counter': 38, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.w1', 'kernel_order': 80, 'label': '640.19151.2f', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39675418
    {'center': '4.f1', 'center_index': 4, 'center_order': 160, 'counter': 39, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.v1', 'kernel_order': 80, 'label': '640.19151.2g', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39675420
    {'center': '4.f1', 'center_index': 4, 'center_order': 160, 'counter': 40, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.v1', 'kernel_order': 80, 'label': '640.19151.2h', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39675421
    {'center': '4.g1', 'center_index': 4, 'center_order': 160, 'counter': 41, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.m1', 'kernel_order': 40, 'label': '640.19151.2i1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39675422
    {'center': '4.g1', 'center_index': 4, 'center_order': 160, 'counter': 42, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.m1', 'kernel_order': 40, 'label': '640.19151.2i2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39675423
    {'center': '4.f1', 'center_index': 4, 'center_order': 160, 'counter': 43, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.j1', 'kernel_order': 40, 'label': '640.19151.2j1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 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]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39675424
    {'center': '4.f1', 'center_index': 4, 'center_order': 160, 'counter': 44, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.j1', 'kernel_order': 40, 'label': '640.19151.2j2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 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]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39675425
    {'center': '4.g1', 'center_index': 4, 'center_order': 160, 'counter': 45, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.m1', 'kernel_order': 40, 'label': '640.19151.2k1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39675426
    {'center': '4.g1', 'center_index': 4, 'center_order': 160, 'counter': 46, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.m1', 'kernel_order': 40, 'label': '640.19151.2k2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39675427
    {'center': '4.f1', 'center_index': 4, 'center_order': 160, 'counter': 47, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.j1', 'kernel_order': 40, 'label': '640.19151.2l1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 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]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39675428
    {'center': '4.f1', 'center_index': 4, 'center_order': 160, 'counter': 48, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.j1', 'kernel_order': 40, 'label': '640.19151.2l2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 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]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39675429
    {'center': '4.d1', 'center_index': 4, 'center_order': 160, 'counter': 49, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.q1', 'kernel_order': 40, 'label': '640.19151.2m1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 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]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 1]], [[2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]]]}
  • id: 39675431
    {'center': '4.d1', 'center_index': 4, 'center_order': 160, 'counter': 50, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.q1', 'kernel_order': 40, 'label': '640.19151.2m2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 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]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[2, 1]], [[0, 0]]]}
  • id: 39675432
    {'center': '4.d1', 'center_index': 4, 'center_order': 160, 'counter': 51, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.p1', 'kernel_order': 40, 'label': '640.19151.2n1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 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]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 1]], [[2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]]]}
  • id: 39675433
    {'center': '4.d1', 'center_index': 4, 'center_order': 160, 'counter': 52, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.p1', 'kernel_order': 40, 'label': '640.19151.2n2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 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]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[2, 1]], [[0, 0]]]}
  • id: 39675434
    {'center': '4.d1', 'center_index': 4, 'center_order': 160, 'counter': 53, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.q1', 'kernel_order': 40, 'label': '640.19151.2o1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 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]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]]]}
  • id: 39675435
    {'center': '4.d1', 'center_index': 4, 'center_order': 160, 'counter': 54, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.q1', 'kernel_order': 40, 'label': '640.19151.2o2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 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]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[2, 1]], [[0, 0]]]}
  • id: 39675436
    {'center': '4.d1', 'center_index': 4, 'center_order': 160, 'counter': 55, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.p1', 'kernel_order': 40, 'label': '640.19151.2p1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 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]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]]]}
  • id: 39675437
    {'center': '4.d1', 'center_index': 4, 'center_order': 160, 'counter': 56, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.p1', 'kernel_order': 40, 'label': '640.19151.2p2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 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]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[2, 1]], [[0, 0]]]}
  • id: 39675438
    {'center': '20.a1', 'center_index': 20, 'center_order': 32, 'counter': 57, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '20.3', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 32, 'label': '640.19151.4a', 'nt': [5, 3], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 39675439
    {'center': '20.a1', 'center_index': 20, 'center_order': 32, 'counter': 58, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '40.12', 'image_order': 40, 'indicator': 1, 'kernel': '40.d1', 'kernel_order': 16, 'label': '640.19151.4b', 'nt': [10, 5], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 39675440
    {'center': '20.a1', 'center_index': 20, 'center_order': 32, 'counter': 59, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '40.12', 'image_order': 40, 'indicator': 1, 'kernel': '40.d1', 'kernel_order': 16, 'label': '640.19151.4c', 'nt': [10, 5], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 39675442
    {'center': '20.a1', 'center_index': 20, 'center_order': 32, 'counter': 60, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '40.12', 'image_order': 40, 'indicator': 1, 'kernel': '40.d1', 'kernel_order': 16, 'label': '640.19151.4d', 'nt': [10, 5], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 39675443
    {'center': '20.a1', 'center_index': 20, 'center_order': 32, 'counter': 61, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '40.12', 'image_order': 40, 'indicator': 1, 'kernel': '40.d1', 'kernel_order': 16, 'label': '640.19151.4e', 'nt': [10, 5], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 39675444
    {'center': '20.a1', 'center_index': 20, 'center_order': 32, 'counter': 62, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '40.12', 'image_order': 40, 'indicator': 1, 'kernel': '40.c1', 'kernel_order': 16, 'label': '640.19151.4f', 'nt': [10, 5], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 39675445
    {'center': '20.a1', 'center_index': 20, 'center_order': 32, 'counter': 63, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '40.12', 'image_order': 40, 'indicator': 1, 'kernel': '40.b1', 'kernel_order': 16, 'label': '640.19151.4g', 'nt': [10, 5], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 39675446
    {'center': '20.a1', 'center_index': 20, 'center_order': 32, 'counter': 64, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '40.12', 'image_order': 40, 'indicator': 1, 'kernel': '40.a1', 'kernel_order': 16, 'label': '640.19151.4h', 'nt': [10, 5], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 39675447
    {'center': '40.b1', 'center_index': 40, 'center_order': 16, 'counter': 65, 'cyclotomic_n': 20, 'dim': 4, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '160.205', 'image_order': 160, 'indicator': 0, 'kernel': '160.d1', 'kernel_order': 4, 'label': '640.19151.4i1', 'nt': [40, 105], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 5]], [[4, 5]], [[4, 5]], [[-4, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 4], [2, 6]], [[1, 0], [2, 4], [-2, 6]], [[1, 0], [2, 4], [-2, 6]], [[-1, 0], [-2, 4], [2, 6]], [[2, 3], [-1, 5], [2, 7]], [[1, 5]], [[-2, 3], [1, 5], [-2, 7]], [[-1, 5]], [[-1, 5]], [[-2, 3], [1, 5], [-2, 7]], [[1, 5]], [[2, 3], [-1, 5], [2, 7]]]}
  • id: 39675448
    {'center': '40.b1', 'center_index': 40, 'center_order': 16, 'counter': 66, 'cyclotomic_n': 20, 'dim': 4, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '160.205', 'image_order': 160, 'indicator': 0, 'kernel': '160.d1', 'kernel_order': 4, 'label': '640.19151.4i2', 'nt': [40, 4], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 5]], [[-4, 5]], [[-4, 5]], [[4, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 4], [2, 6]], [[1, 0], [2, 4], [-2, 6]], [[1, 0], [2, 4], [-2, 6]], [[-1, 0], [-2, 4], [2, 6]], [[-2, 3], [1, 5], [-2, 7]], [[-1, 5]], [[2, 3], [-1, 5], [2, 7]], [[1, 5]], [[1, 5]], [[2, 3], [-1, 5], [2, 7]], [[-1, 5]], [[-2, 3], [1, 5], [-2, 7]]]}
  • id: 39675449
    {'center': '40.b1', 'center_index': 40, 'center_order': 16, 'counter': 67, 'cyclotomic_n': 20, 'dim': 4, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '160.205', 'image_order': 160, 'indicator': 0, 'kernel': '160.d1', 'kernel_order': 4, 'label': '640.19151.4i3', 'nt': [40, 105], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 5]], [[4, 5]], [[4, 5]], [[-4, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 4], [-2, 6]], [[-1, 0], [-2, 4], [2, 6]], [[-1, 0], [-2, 4], [2, 6]], [[1, 0], [2, 4], [-2, 6]], [[-2, 3], [1, 5], [-2, 7]], [[1, 5]], [[2, 3], [-1, 5], [2, 7]], [[-1, 5]], [[-1, 5]], [[2, 3], [-1, 5], [2, 7]], [[1, 5]], [[-2, 3], [1, 5], [-2, 7]]]}
  • id: 39675450
    {'center': '40.b1', 'center_index': 40, 'center_order': 16, 'counter': 68, 'cyclotomic_n': 20, 'dim': 4, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '160.205', 'image_order': 160, 'indicator': 0, 'kernel': '160.d1', 'kernel_order': 4, 'label': '640.19151.4i4', 'nt': [40, 4], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 5]], [[-4, 5]], [[-4, 5]], [[4, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 4], [-2, 6]], [[-1, 0], [-2, 4], [2, 6]], [[-1, 0], [-2, 4], [2, 6]], [[1, 0], [2, 4], [-2, 6]], [[2, 3], [-1, 5], [2, 7]], [[-1, 5]], [[-2, 3], [1, 5], [-2, 7]], [[1, 5]], [[1, 5]], [[-2, 3], [1, 5], [-2, 7]], [[-1, 5]], [[2, 3], [-1, 5], [2, 7]]]}
  • id: 39675451
    {'center': '40.b1', 'center_index': 40, 'center_order': 16, 'counter': 69, 'cyclotomic_n': 20, 'dim': 4, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '160.205', 'image_order': 160, 'indicator': 0, 'kernel': '160.d1', 'kernel_order': 4, 'label': '640.19151.4j1', 'nt': [40, 105], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 5]], [[4, 5]], [[-4, 5]], [[4, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 4], [2, 6]], [[1, 0], [2, 4], [-2, 6]], [[-1, 0], [-2, 4], [2, 6]], [[1, 0], [2, 4], [-2, 6]], [[2, 3], [-1, 5], [2, 7]], [[-1, 5]], [[2, 3], [-1, 5], [2, 7]], [[-1, 5]], [[1, 5]], [[-2, 3], [1, 5], [-2, 7]], [[1, 5]], [[-2, 3], [1, 5], [-2, 7]]]}
  • id: 39675453
    {'center': '40.b1', 'center_index': 40, 'center_order': 16, 'counter': 70, 'cyclotomic_n': 20, 'dim': 4, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '160.205', 'image_order': 160, 'indicator': 0, 'kernel': '160.d1', 'kernel_order': 4, 'label': '640.19151.4j2', 'nt': [40, 4], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 5]], [[-4, 5]], [[4, 5]], [[-4, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 4], [2, 6]], [[1, 0], [2, 4], [-2, 6]], [[-1, 0], [-2, 4], [2, 6]], [[1, 0], [2, 4], [-2, 6]], [[-2, 3], [1, 5], [-2, 7]], [[1, 5]], [[-2, 3], [1, 5], [-2, 7]], [[1, 5]], [[-1, 5]], [[2, 3], [-1, 5], [2, 7]], [[-1, 5]], [[2, 3], [-1, 5], [2, 7]]]}
  • id: 39675454
    {'center': '40.b1', 'center_index': 40, 'center_order': 16, 'counter': 71, 'cyclotomic_n': 20, 'dim': 4, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '160.205', 'image_order': 160, 'indicator': 0, 'kernel': '160.d1', 'kernel_order': 4, 'label': '640.19151.4j3', 'nt': [40, 105], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 5]], [[4, 5]], [[-4, 5]], [[4, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 4], [-2, 6]], [[-1, 0], [-2, 4], [2, 6]], [[1, 0], [2, 4], [-2, 6]], [[-1, 0], [-2, 4], [2, 6]], [[-2, 3], [1, 5], [-2, 7]], [[-1, 5]], [[-2, 3], [1, 5], [-2, 7]], [[-1, 5]], [[1, 5]], [[2, 3], [-1, 5], [2, 7]], [[1, 5]], [[2, 3], [-1, 5], [2, 7]]]}
  • id: 39675455
    {'center': '40.b1', 'center_index': 40, 'center_order': 16, 'counter': 72, 'cyclotomic_n': 20, 'dim': 4, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '160.205', 'image_order': 160, 'indicator': 0, 'kernel': '160.d1', 'kernel_order': 4, 'label': '640.19151.4j4', 'nt': [40, 4], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 5]], [[-4, 5]], [[4, 5]], [[-4, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 4], [-2, 6]], [[-1, 0], [-2, 4], [2, 6]], [[1, 0], [2, 4], [-2, 6]], [[-1, 0], [-2, 4], [2, 6]], [[2, 3], [-1, 5], [2, 7]], [[1, 5]], [[2, 3], [-1, 5], [2, 7]], [[1, 5]], [[-1, 5]], [[-2, 3], [1, 5], [-2, 7]], [[-1, 5]], [[-2, 3], [1, 5], [-2, 7]]]}
  • id: 39675456
    {'center': '80.a1', 'center_index': 80, 'center_order': 8, 'counter': 73, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '160.207', 'image_order': 160, 'indicator': 1, 'kernel': '160.c1', 'kernel_order': 4, 'label': '640.19151.8a', 'nt': [20, 42], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39675457
    {'center': '80.a1', 'center_index': 80, 'center_order': 8, 'counter': 74, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '160.207', 'image_order': 160, 'indicator': 1, 'kernel': '160.b1', 'kernel_order': 4, 'label': '640.19151.8b', 'nt': [20, 42], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[-8, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39675458
    {'center': '80.a1', 'center_index': 80, 'center_order': 8, 'counter': 75, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '160.207', 'image_order': 160, 'indicator': 1, 'kernel': '160.c1', 'kernel_order': 4, 'label': '640.19151.8c', 'nt': [20, 42], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[-8, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 39675459
    {'center': '80.a1', 'center_index': 80, 'center_order': 8, 'counter': 76, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '640.19151', 'group_counter': 19151, 'group_order': 640, 'image': None, 'image_isoclass': '160.207', 'image_order': 160, 'indicator': 1, 'kernel': '160.b1', 'kernel_order': 4, 'label': '640.19151.8d', 'nt': [20, 42], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[8, 0]], [[8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

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

  
  
  • id: 273005439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 640, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 10, 'label': '640.19151.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '640.19151', 'subgroup_hash': 19151, 'subgroup_order': 640, 'subgroup_tex': 'D_{10}.(C_4\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 273005550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 320, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '320.1156', 'subgroup_hash': 1156, 'subgroup_order': 320, 'subgroup_tex': 'C_2^4.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 320, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '320.1607', 'subgroup_hash': 1607, 'subgroup_order': 320, 'subgroup_tex': 'C_2^4:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 320, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '320.1607', 'subgroup_hash': 1607, 'subgroup_order': 320, 'subgroup_tex': 'C_2^4:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005762
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 320, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.2.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '320.1590', 'subgroup_hash': 1590, 'subgroup_order': 320, 'subgroup_tex': 'D_{10}:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 320, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.2.e1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '320.1100', 'subgroup_hash': 1100, 'subgroup_order': 320, 'subgroup_tex': 'D_{10}.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 320, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.2.f1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '320.1100', 'subgroup_hash': 1100, 'subgroup_order': 320, 'subgroup_tex': 'D_{10}.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 320, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.2.g1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '320.1591', 'subgroup_hash': 1591, 'subgroup_order': 320, 'subgroup_tex': 'D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 273005806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': True, 'centralizer_order': 8, 'characteristic': False, 'core_order': 320, 'counter': 9, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '640.19151.2.h1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '320.1038', 'subgroup_hash': 1038, 'subgroup_order': 320, 'subgroup_tex': 'C_{10}.(C_4\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 273005440
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 160, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.237', 'subgroup_hash': 237, 'subgroup_order': 160, 'subgroup_tex': 'C_2^3\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 160, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.176', 'subgroup_hash': 176, 'subgroup_order': 160, 'subgroup_tex': 'C_2^3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 273005462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 160, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.173', 'subgroup_hash': 173, 'subgroup_order': 160, 'subgroup_tex': 'C_2^3.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005473
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 160, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.214', 'subgroup_hash': 214, 'subgroup_order': 160, 'subgroup_tex': 'C_{20}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005484
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 160, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.214', 'subgroup_hash': 214, 'subgroup_order': 160, 'subgroup_tex': 'C_{20}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005495
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 160, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.236', 'subgroup_hash': 236, 'subgroup_order': 160, 'subgroup_tex': 'C_2^3\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005506
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 160, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.4.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.236', 'subgroup_hash': 236, 'subgroup_order': 160, 'subgroup_tex': 'C_2^3\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005517
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 160, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.4.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.236', 'subgroup_hash': 236, 'subgroup_order': 160, 'subgroup_tex': 'C_2^3\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005528
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 160, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.4.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.236', 'subgroup_hash': 236, 'subgroup_order': 160, 'subgroup_tex': 'C_2^3\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 160, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.4.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.148', 'subgroup_hash': 148, 'subgroup_order': 160, 'subgroup_tex': 'C_2^2.D_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 273005551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 160, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.4.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.148', 'subgroup_hash': 148, 'subgroup_order': 160, 'subgroup_tex': 'C_2^2.D_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 273005562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 160, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.4.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.101', 'subgroup_hash': 101, 'subgroup_order': 160, 'subgroup_tex': 'D_{10}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 160, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.4.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.101', 'subgroup_hash': 101, 'subgroup_order': 160, 'subgroup_tex': 'D_{10}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 160, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.4.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.212', 'subgroup_hash': 212, 'subgroup_order': 160, 'subgroup_tex': 'C_2^3:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005595
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 160, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.4.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.212', 'subgroup_hash': 212, 'subgroup_order': 160, 'subgroup_tex': 'C_2^3:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005606
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 160, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.4.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.203', 'subgroup_hash': 203, 'subgroup_order': 160, 'subgroup_tex': 'C_{10}:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 160, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.4.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.81', 'subgroup_hash': 81, 'subgroup_order': 160, 'subgroup_tex': 'C_{10}.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 160, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.4.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.81', 'subgroup_hash': 81, 'subgroup_order': 160, 'subgroup_tex': 'C_{10}.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 160, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.4.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.204', 'subgroup_hash': 204, 'subgroup_order': 160, 'subgroup_tex': 'D_{10}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 80, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.4.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '160.212', 'subgroup_hash': 212, 'subgroup_order': 160, 'subgroup_tex': 'C_2^3:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005662
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 80, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.4.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '160.203', 'subgroup_hash': 203, 'subgroup_order': 160, 'subgroup_tex': 'C_{10}:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 80, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.4.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '160.212', 'subgroup_hash': 212, 'subgroup_order': 160, 'subgroup_tex': 'C_2^3:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 80, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.4.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '160.204', 'subgroup_hash': 204, 'subgroup_order': 160, 'subgroup_tex': 'D_{10}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '640.19151.5.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1021', 'subgroup_hash': 1021, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 2}
  • id: 273005706
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': True, 'core_order': 80, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.52', 'subgroup_hash': 52, 'subgroup_order': 80, 'subgroup_tex': 'C_2^3\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005717
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 80, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.51', 'subgroup_hash': 51, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005728
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 80, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.51', 'subgroup_hash': 51, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005739
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': True, 'core_order': 80, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 273005749
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': True, 'core_order': 80, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 273005750
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 80, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.43', 'subgroup_hash': 43, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005752
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 80, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.43', 'subgroup_hash': 43, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005753
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 80, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.51', 'subgroup_hash': 51, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005754
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 80, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.51', 'subgroup_hash': 51, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 80, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.21', 'subgroup_hash': 21, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 273005756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 80, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.19', 'subgroup_hash': 19, 'subgroup_order': 80, 'subgroup_tex': 'C_{10}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005757
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 80, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.36', 'subgroup_hash': 36, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005758
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 80, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.36', 'subgroup_hash': 36, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005759
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 80, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.36', 'subgroup_hash': 36, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005760
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 80, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.36', 'subgroup_hash': 36, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005761
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 80, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.50', 'subgroup_hash': 50, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005763
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 80, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.50', 'subgroup_hash': 50, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005764
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 80, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.50', 'subgroup_hash': 50, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005765
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 80, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.50', 'subgroup_hash': 50, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 80, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.14', 'subgroup_hash': 14, 'subgroup_order': 80, 'subgroup_tex': 'D_{10}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 80, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.14', 'subgroup_hash': 14, 'subgroup_order': 80, 'subgroup_tex': 'D_{10}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005768
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 80, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.50', 'subgroup_hash': 50, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005769
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 80, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.8.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.50', 'subgroup_hash': 50, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005770
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 40, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.51', 'subgroup_hash': 51, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005771
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 40, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.51', 'subgroup_hash': 51, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005772
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 40, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.36', 'subgroup_hash': 36, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005774
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 40, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.50', 'subgroup_hash': 50, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005775
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 40, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.36', 'subgroup_hash': 36, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005776
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 40, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.50', 'subgroup_hash': 50, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005777
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 40, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.50', 'subgroup_hash': 50, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 40, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.34', 'subgroup_hash': 34, 'subgroup_order': 80, 'subgroup_tex': 'D_{10}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005779
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 40, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.30', 'subgroup_hash': 30, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005780
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 40, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.51', 'subgroup_hash': 51, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005781
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 40, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.51', 'subgroup_hash': 51, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005782
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 40, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.36', 'subgroup_hash': 36, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005783
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 40, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.50', 'subgroup_hash': 50, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005785
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 40, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.36', 'subgroup_hash': 36, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005786
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 40, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.50', 'subgroup_hash': 50, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005787
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 40, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.50', 'subgroup_hash': 50, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 40, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.34', 'subgroup_hash': 34, 'subgroup_order': 80, 'subgroup_tex': 'D_{10}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 40, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.31', 'subgroup_hash': 31, 'subgroup_order': 80, 'subgroup_tex': 'C_{20}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005790
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 40, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.51', 'subgroup_hash': 51, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005791
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 40, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.51', 'subgroup_hash': 51, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005792
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 40, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.50', 'subgroup_hash': 50, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005793
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 40, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.50', 'subgroup_hash': 50, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005794
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 40, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.50', 'subgroup_hash': 50, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005796
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 40, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.8.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '80.50', 'subgroup_hash': 50, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.10.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.10.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.10.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005800
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 16, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.10.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': 192, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.10.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': 56, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.10.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': 56, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.10.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.194', 'subgroup_hash': 194, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.10.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.69', 'subgroup_hash': 69, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005805
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': True, 'core_order': 40, 'counter': 89, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005807
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 90, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005808
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 40, 'counter': 91, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005809
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 40, 'counter': 92, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, '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': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005810
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 40, 'counter': 93, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005811
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 94, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 273005812
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 95, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 273005813
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 40, 'counter': 96, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.16.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.7', 'subgroup_hash': 7, 'subgroup_order': 40, 'subgroup_tex': 'C_{10}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005814
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 40, 'counter': 97, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.16.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.7', 'subgroup_hash': 7, 'subgroup_order': 40, 'subgroup_tex': 'C_{10}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005815
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 40, 'counter': 98, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.16.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005816
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 40, 'counter': 99, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.16.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005441
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 40, 'counter': 100, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.16.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005442
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 40, 'counter': 101, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.16.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005443
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 40, 'counter': 102, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.16.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005444
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 40, 'counter': 103, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.16.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005445
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 40, 'counter': 104, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.16.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005446
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 40, 'counter': 105, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.16.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005447
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005448
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005449
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 273005450
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.7', 'subgroup_hash': 7, 'subgroup_order': 40, 'subgroup_tex': 'C_{10}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005452
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005453
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005454
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005455
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.5', 'subgroup_hash': 5, 'subgroup_order': 40, 'subgroup_tex': 'C_4\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005456
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.5', 'subgroup_hash': 5, 'subgroup_order': 40, 'subgroup_tex': 'C_4\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005457
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 20, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005458
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.5', 'subgroup_hash': 5, 'subgroup_order': 40, 'subgroup_tex': 'C_4\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005459
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005460
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 20, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005461
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005463
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005464
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 273005465
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.7', 'subgroup_hash': 7, 'subgroup_order': 40, 'subgroup_tex': 'C_{10}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005466
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005467
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005468
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005469
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.5', 'subgroup_hash': 5, 'subgroup_order': 40, 'subgroup_tex': 'C_4\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005470
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.5', 'subgroup_hash': 5, 'subgroup_order': 40, 'subgroup_tex': 'C_4\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005471
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005472
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.5', 'subgroup_hash': 5, 'subgroup_order': 40, 'subgroup_tex': 'C_4\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005474
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 20, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005475
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 20, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005476
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005477
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005478
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005479
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005480
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005481
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005482
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 20, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005483
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005485
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 20, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005486
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005487
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005488
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005489
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005490
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005491
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 20, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005492
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 20, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005493
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 20, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.16.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005494
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': True, 'core_order': 32, 'counter': 149, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.20.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'F_5', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005496
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 273005497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005498
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 16, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005499
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005500
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005501
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005502
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005503
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005507
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005511
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.2', 'subgroup_hash': 2, 'subgroup_order': 32, 'subgroup_tex': 'C_2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.2', 'subgroup_hash': 2, 'subgroup_order': 32, 'subgroup_tex': 'C_2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.23', 'subgroup_hash': 23, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005516
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.20.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.23', 'subgroup_hash': 23, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005520
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': True, 'core_order': 20, 'counter': 172, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005521
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 20, 'counter': 173, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005522
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 20, 'counter': 174, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005523
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 20, 'counter': 175, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.32.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005524
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 20, 'counter': 176, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.32.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005525
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 20, 'counter': 177, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.32.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005526
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 20, 'counter': 178, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.32.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005527
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 20, 'counter': 179, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.32.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005529
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 20, 'counter': 180, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.32.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005530
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 20, 'counter': 181, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.32.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.24', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005531
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 20, 'counter': 182, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.32.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.24', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005532
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 20, 'counter': 183, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.32.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005533
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 20, 'counter': 184, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.32.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005534
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 20, 'counter': 185, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.32.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.33', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 33, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005535
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 20, 'counter': 186, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.32.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005536
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 20, 'counter': 187, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.32.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005537
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 20, 'counter': 188, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.32.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005538
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.32.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005540
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 10, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.32.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005541
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 191, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '640.19151.32.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 273005542
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 10, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.32.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.1', 'subgroup_hash': 1, 'subgroup_order': 20, 'subgroup_tex': 'C_5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005543
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.32.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005544
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 10, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.32.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005545
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 195, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '640.19151.32.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 273005546
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 10, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.32.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.1', 'subgroup_hash': 1, 'subgroup_order': 20, 'subgroup_tex': 'C_5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005547
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.32.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005548
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 10, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.32.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005549
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 10, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.32.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005552
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 10, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.32.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005553
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 10, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.32.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005554
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 10, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.32.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005555
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 10, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.32.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005556
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 10, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.32.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005557
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 10, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.32.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005558
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 10, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.32.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.3', 'subgroup_hash': 3, 'subgroup_order': 20, 'subgroup_tex': 'F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005559
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 10, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.32.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.3', 'subgroup_hash': 3, 'subgroup_order': 20, 'subgroup_tex': 'F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005560
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 10, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.32.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.3', 'subgroup_hash': 3, 'subgroup_order': 20, 'subgroup_tex': 'F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005561
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 10, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.32.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.3', 'subgroup_hash': 3, 'subgroup_order': 20, 'subgroup_tex': 'F_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005563
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': True, 'core_order': 16, 'counter': 210, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.40.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 273005564
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 320, 'characteristic': True, 'core_order': 16, 'counter': 211, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.40.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005565
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': True, 'core_order': 16, 'counter': 212, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.40.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 16, 'counter': 213, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.40.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005567
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 273005568
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 273005569
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005570
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005571
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 273005572
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 273005574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005575
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005576
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005577
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005578
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005579
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005580
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005581
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005582
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005586
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 273005587
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 273005588
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005589
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005590
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005591
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005592
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005593
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005596
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005597
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 273005598
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 273005599
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005600
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005601
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005602
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005603
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005604
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005608
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 273005609
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 273005610
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005611
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005612
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005613
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.40.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005614
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': True, 'core_order': 10, 'counter': 257, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '640.19151.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 196, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005615
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': True, 'core_order': 10, 'counter': 258, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '640.19151.64.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 196, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005616
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': True, 'core_order': 10, 'counter': 259, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '640.19151.64.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.195', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 195, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C6'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005618
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 10, 'counter': 260, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '640.19151.64.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.69', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 69, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005619
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 10, 'counter': 261, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.64.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.69', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 69, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005620
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 10, 'counter': 262, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.64.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.209', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 209, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005621
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 10, 'counter': 263, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.64.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.205', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 205, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005622
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 10, 'counter': 264, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.64.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.203', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 203, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005623
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 10, 'counter': 265, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.64.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.207', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 207, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005624
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 5, 'counter': 266, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '640.19151.64.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 273005625
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 5, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.64.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 273005626
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': True, 'central_factor': False, 'centralizer_order': 640, 'characteristic': True, 'core_order': 8, 'counter': 268, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.80.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.50', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times F_5', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005627
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 8, 'counter': 269, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.80.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.50', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times F_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005629
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 320, 'characteristic': False, 'core_order': 8, 'counter': 270, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.80.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.50', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times F_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005630
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 8, 'counter': 271, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.80.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.50', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times F_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005631
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005632
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005633
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005634
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005635
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005636
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 4, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005637
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005638
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005640
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005641
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 320, 'characteristic': False, 'core_order': 4, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005642
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005643
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005644
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005645
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005646
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005647
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005648
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005649
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005651
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005652
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005653
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005654
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 4, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005655
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005656
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005657
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005658
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 4, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005659
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005660
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005663
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005664
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005665
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005666
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005667
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005668
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005669
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005670
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005671
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005672
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 4, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005674
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005675
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005676
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005677
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005678
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005679
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005680
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005681
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005682
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005683
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005685
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005686
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005687
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005688
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 273005689
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005690
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005691
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005692
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.80.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005693
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': True, 'core_order': 5, 'counter': 328, 'cyclic': True, 'direct': False, 'hall': 5, 'label': '640.19151.128.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '128.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1021', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1021, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': True, 'solvable': True, 'special_labels': ['L2', 'C7'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
  • id: 273005694
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': True, 'central_factor': False, 'centralizer_order': 640, 'characteristic': True, 'core_order': 4, 'counter': 329, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.160.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.236', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 236, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times F_5', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005696
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': True, 'central_factor': False, 'centralizer_order': 640, 'characteristic': False, 'core_order': 4, 'counter': 330, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.160.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.207', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 207, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times F_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005697
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': True, 'central_factor': False, 'centralizer_order': 640, 'characteristic': False, 'core_order': 4, 'counter': 331, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.160.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.207', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 207, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times F_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005698
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': True, 'central_factor': False, 'centralizer_order': 640, 'characteristic': False, 'core_order': 4, 'counter': 332, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '640.19151.160.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.205', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 205, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005699
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 2, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005700
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005701
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005702
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005703
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005704
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 320, 'characteristic': False, 'core_order': 2, 'counter': 338, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '640.19151.160.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005705
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 339, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '640.19151.160.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005707
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 2, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005708
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005709
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005710
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005711
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005712
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 2, 'counter': 345, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '640.19151.160.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005713
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 346, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '640.19151.160.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005714
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 2, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005715
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005716
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005718
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005719
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005720
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 2, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005721
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005722
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005723
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005724
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005725
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005726
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005727
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005729
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005730
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005731
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '640.19151.160.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 273005732
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 363, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '640.19151.160.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005733
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 364, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '640.19151.160.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005734
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 365, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '640.19151.160.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005735
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 366, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '640.19151.160.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 273005736
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': True, 'central_factor': False, 'centralizer_order': 640, 'characteristic': True, 'core_order': 2, 'counter': 367, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '640.19151.320.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '320.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '320.1595', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1595, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 320, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}.C_2^4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 273005737
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': True, 'central_factor': False, 'centralizer_order': 640, 'characteristic': True, 'core_order': 2, 'counter': 368, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '640.19151.320.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '320.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '320.1595', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1595, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 320, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}.C_2^4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 273005738
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': True, 'central_factor': False, 'centralizer_order': 640, 'characteristic': True, 'core_order': 2, 'counter': 369, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '640.19151.320.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '320.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '320.1592', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1592, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 320, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}.C_2^4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 273005740
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': True, 'central_factor': False, 'centralizer_order': 640, 'characteristic': False, 'core_order': 2, 'counter': 370, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '640.19151.320.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '320.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '320.1038', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1038, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 320, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}.(C_4\\times D_4)', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 273005741
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 1, 'counter': 371, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '640.19151.320.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '320.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 273005742
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 372, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '640.19151.320.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '320.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 273005743
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 373, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '640.19151.320.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '320.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 273005744
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 374, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '640.19151.320.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '320.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 273005745
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 375, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '640.19151.320.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '320.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 273005746
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 376, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '640.19151.320.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '320.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 273005747
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 377, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '640.19151.320.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '320.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 273005748
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '640.19151', 'ambient_counter': 19151, 'ambient_order': 640, 'ambient_tex': 'D_{10}.(C_4\\times D_4)', 'central': True, 'central_factor': False, 'centralizer_order': 640, 'characteristic': True, 'core_order': 1, 'counter': 378, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '640.19151.640.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '640.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '640.19151', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 19151, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 640, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}.(C_4\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D2', 'C8'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 273005734
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.bk1', '80.y1', '80.bn1', '80.bx1', '80.cg1'], 'contains': ['320.i1'], 'core': '640.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [480281], 'label': '640.19151.160.bk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.r1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.h1', 'old_label': '160.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.bk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005735
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.bl1', '80.u1', '80.bo1', '80.bz1', '80.ch1'], 'contains': ['320.j1'], 'core': '640.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [497501], 'label': '640.19151.160.bl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.s1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.i1', 'old_label': '160.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.bl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005439
    {'ambient': '640.19151', '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': '80.a1', 'complements': ['640.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '2.f1', '2.g1', '2.h1', '5.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 1984831, 1344021, 1504171, 576641, 64321, 576071, 113211], 'label': '640.19151.1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '2.f1', '2.g1', '2.h1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005440
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1', '2.c1'], 'contains': ['8.a1', '8.b1', '8.c1', '8.h1', '8.i1', '8.x1', '8.y1', '8.bg1', '8.bh1', '8.bp1', '8.bq1', '20.b1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 64321, 1984831, 576641, 576071, 1344021], 'label': '640.19151.4.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1', '2.c1'], 'normal_contains': ['8.a1', '8.b1', '8.c1', '8.h1', '8.i1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005441
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.p1', '8.v1', '8.be1', '8.bf1'], 'contains': ['32.e1', '32.bi1', '80.w1'], 'core': '16.l1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1504971, 576641, 64321, 1344021], 'label': '640.19151.16.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.l1', 'normal_contained_in': ['8.p1', '8.v1'], 'normal_contains': ['32.e1'], 'normalizer': '1.a1', 'old_label': '16.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005442
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '8.bg1', '8.bi1', '8.bj1'], 'contains': ['32.f1', '32.g1', '32.h1', '32.n1', '32.o1', '80.ba1'], 'core': '16.m1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [64801, 576641, 64321, 704811], 'label': '640.19151.16.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.m1', 'normal_contained_in': ['8.b1'], 'normal_contains': ['32.f1', '32.g1', '32.h1', '32.n1', '32.o1'], 'normalizer': '1.a1', 'old_label': '16.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005443
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '8.w1', '8.bh1', '8.bk1', '8.bl1', '8.bm1'], 'contains': ['32.f1', '32.g1', '32.i1', '32.p1', '32.q1', '80.bb1'], 'core': '16.n1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [64801, 1856661, 64321, 704811], 'label': '640.19151.16.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.n1', 'normal_contained_in': ['8.b1', '8.w1'], 'normal_contains': ['32.f1', '32.g1', '32.i1', '32.p1', '32.q1'], 'normalizer': '1.a1', 'old_label': '16.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005444
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.q1', '8.w1', '8.bn1', '8.bo1'], 'contains': ['32.i1', '32.bj1', '80.bm1'], 'core': '16.o1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1521361, 1856661, 64321, 704811], 'label': '640.19151.16.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.o1', 'normal_contained_in': ['8.q1', '8.w1'], 'normal_contains': ['32.i1'], 'normalizer': '1.a1', 'old_label': '16.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005445
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '8.bp1', '8.br1', '8.bs1'], 'contains': ['32.j1', '32.k1', '32.l1', '32.n1', '32.p1', '80.bq1'], 'core': '16.p1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [64801, 1856661, 64321, 1984831], 'label': '640.19151.16.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.p1', 'normal_contained_in': ['8.b1'], 'normal_contains': ['32.j1', '32.k1', '32.l1', '32.n1', '32.p1'], 'normalizer': '1.a1', 'old_label': '16.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005446
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '8.bq1', '8.bt1', '8.bu1'], 'contains': ['32.j1', '32.k1', '32.m1', '32.o1', '32.q1', '80.br1'], 'core': '16.q1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [64801, 576641, 64321, 1984831], 'label': '640.19151.16.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.q1', 'normal_contained_in': ['8.b1'], 'normal_contains': ['32.j1', '32.k1', '32.m1', '32.o1', '32.q1'], 'normalizer': '1.a1', 'old_label': '16.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005447
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.x1', '8.y1'], 'contains': ['32.b1', '32.r1', '32.bb1', '80.j1'], 'core': '32.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 1344021, 64321, 65031], 'label': '640.19151.16.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005448
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '8.x1', '8.y1'], 'contains': ['32.b1', '32.s1', '32.bc1', '80.m1'], 'core': '32.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 1344021, 64321, 576071], 'label': '640.19151.16.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005449
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '8.z1', '8.bb1'], 'contains': ['32.b1', '32.t1', '80.n1'], 'core': '32.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 64321, 1344021, 113211], 'label': '640.19151.16.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005450
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.f1', '8.z1', '8.bb1'], 'contains': ['32.b1', '32.u1', '80.o1'], 'core': '32.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 1344021, 64321, 624251], 'label': '640.19151.16.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.u1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005451
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1', 'complements': ['160.bi1', '160.bk1', '160.bj1', '160.bl1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.a1', '8.d1', '8.e1', '8.j1', '20.a1'], 'core': '4.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 1344021, 113211, 64321, 65031, 1984831], 'label': '640.19151.4.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.a1', '8.d1', '8.e1', '8.j1', '20.a1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005452
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.h1', '8.x1', '8.y1'], 'contains': ['32.c1', '32.r1', '32.s1', '32.bd1', '80.p1'], 'core': '32.c1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [577441, 1344021, 64321, 576071], 'label': '640.19151.16.v1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.v1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005453
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.i1', '8.x1'], 'contains': ['32.d1', '32.r1', '32.s1', '32.be1', '32.bh1', '80.q1'], 'core': '32.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [576871, 1344021, 64321, 2497471], 'label': '640.19151.16.w1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.w1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005454
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.i1', '8.y1', '8.be1'], 'contains': ['32.e1', '32.r1', '32.s1', '32.bf1', '32.bg1', '80.r1'], 'core': '32.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [576871, 1344021, 64321, 576641], 'label': '640.19151.16.x1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.x1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005455
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.l1', '8.z1', '8.bb1'], 'contains': ['32.c1', '32.t1', '32.u1', '80.s1'], 'core': '32.c1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [577441, 1344021, 64321, 113211], 'label': '640.19151.16.y1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.y1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005456
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.n1', '8.z1'], 'contains': ['32.d1', '32.t1', '32.u1', '80.t1'], 'core': '32.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [112411, 1344021, 64321, 2497471], 'label': '640.19151.16.z1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.z1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005457
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.s1', '8.ba1'], 'contains': ['32.d1', '32.bl1', '80.u1'], 'core': '32.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [497501, 2497471, 64321, 1344021], 'label': '640.19151.16.ba1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.s1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '16.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ba1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005458
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.n1', '8.bb1', '8.bf1'], 'contains': ['32.e1', '32.t1', '32.u1', '80.v1'], 'core': '32.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [112411, 1344021, 64321, 576641], 'label': '640.19151.16.bb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005459
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.q1', '8.bc1', '8.bf1'], 'contains': ['32.e1', '32.bj1', '80.x1'], 'core': '32.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1521361, 1856661, 64321, 1344021], 'label': '640.19151.16.bc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.q1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005460
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.r1', '8.bd1', '8.be1'], 'contains': ['32.e1', '32.bk1', '80.y1'], 'core': '32.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [480281, 1856661, 64321, 1344021], 'label': '640.19151.16.bd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.r1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005461
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.bg1', '8.bh1'], 'contains': ['32.f1', '32.v1', '32.bb1', '80.z1'], 'core': '32.f1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 704811, 64321, 65031], 'label': '640.19151.16.be1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '16.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.be1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005462
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': ['160.bi1', '160.bk1', '160.bj1', '160.bl1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.a1', '8.f1', '8.g1', '8.k1', '20.c1'], 'core': '4.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 64321, 624251, 1984831, 65031, 1344021], 'label': '640.19151.4.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.a1', '8.f1', '8.g1', '8.k1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005463
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '8.bg1', '8.bh1'], 'contains': ['32.f1', '32.w1', '32.bc1', '80.bc1'], 'core': '32.f1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 704811, 64321, 576071], 'label': '640.19151.16.bf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '16.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005464
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.e1', '8.bi1', '8.bk1'], 'contains': ['32.f1', '32.x1', '80.bd1'], 'core': '32.f1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 64321, 704811, 113411], 'label': '640.19151.16.bg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '16.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005465
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.g1', '8.bi1', '8.bk1'], 'contains': ['32.f1', '32.y1', '80.be1'], 'core': '32.f1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 704811, 64321, 624451], 'label': '640.19151.16.bh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '16.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005466
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.h1', '8.bg1', '8.bh1'], 'contains': ['32.g1', '32.v1', '32.w1', '32.bd1', '80.bf1'], 'core': '32.g1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [577441, 704811, 64321, 576071], 'label': '640.19151.16.bi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '16.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bi1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005467
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.i1', '8.bg1'], 'contains': ['32.h1', '32.v1', '32.w1', '32.be1', '32.bf1', '80.bg1'], 'core': '32.h1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [576871, 576641, 64321, 704811], 'label': '640.19151.16.bj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '16.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005468
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.i1', '8.bh1', '8.bn1'], 'contains': ['32.i1', '32.v1', '32.w1', '32.bg1', '32.bh1', '80.bh1'], 'core': '32.i1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [576871, 1856661, 64321, 704811], 'label': '640.19151.16.bk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '16.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005469
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.m1', '8.bi1', '8.bk1'], 'contains': ['32.g1', '32.x1', '32.y1', '80.bi1'], 'core': '32.g1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [577441, 704811, 64321, 624451], 'label': '640.19151.16.bl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '16.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005470
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.o1', '8.bi1'], 'contains': ['32.h1', '32.x1', '32.y1', '80.bj1'], 'core': '32.h1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [625251, 704811, 64321, 576641], 'label': '640.19151.16.bm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '16.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005471
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.p1', '8.bj1'], 'contains': ['32.h1', '32.bi1', '80.bk1'], 'core': '32.h1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1504971, 576641, 64321, 704811], 'label': '640.19151.16.bn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.p1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005472
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.o1', '8.bk1', '8.bo1'], 'contains': ['32.i1', '32.x1', '32.y1', '80.bl1'], 'core': '32.i1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [625251, 704811, 64321, 1856661], 'label': '640.19151.16.bo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '16.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bo1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005473
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.d1', '2.e1'], 'contains': ['8.b1', '8.d1', '8.f1', '8.l1', '8.n1', '8.z1', '8.bb1', '20.d1'], 'core': '4.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 64321, 1984831, 576641, 113211, 1344021], 'label': '640.19151.4.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': ['2.a1', '2.d1', '2.e1'], 'normal_contains': ['8.b1', '8.d1', '8.f1', '8.l1', '8.n1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005474
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.r1', '8.bl1', '8.bo1'], 'contains': ['32.i1', '32.bk1', '80.bn1'], 'core': '32.i1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [480281, 1856661, 64321, 704811], 'label': '640.19151.16.bp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.r1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '16.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005475
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.s1', '8.bm1', '8.bn1'], 'contains': ['32.i1', '32.bl1', '80.bo1'], 'core': '32.i1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [497501, 2497471, 64321, 1856661], 'label': '640.19151.16.bq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.s1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '16.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005476
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.bp1', '8.bq1'], 'contains': ['32.j1', '32.z1', '32.bb1', '80.bp1'], 'core': '32.j1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 1984831, 64321, 65031], 'label': '640.19151.16.br1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.br1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005477
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '8.bp1', '8.bq1'], 'contains': ['32.j1', '32.ba1', '32.bc1', '80.bs1'], 'core': '32.j1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 1984831, 64321, 576071], 'label': '640.19151.16.bs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bs1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005478
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.h1', '8.bp1', '8.bq1'], 'contains': ['32.k1', '32.z1', '32.ba1', '32.bd1', '80.bt1'], 'core': '32.k1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [577441, 1984831, 64321, 576071], 'label': '640.19151.16.bt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bt1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005479
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.i1', '8.bp1'], 'contains': ['32.l1', '32.z1', '32.ba1', '32.be1', '32.bg1', '80.bu1'], 'core': '32.l1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [576871, 1856661, 64321, 1984831], 'label': '640.19151.16.bu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bu1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005480
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.i1', '8.bq1'], 'contains': ['32.m1', '32.z1', '32.ba1', '32.bf1', '32.bh1', '80.bv1'], 'core': '32.m1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [576871, 576641, 64321, 1984831], 'label': '640.19151.16.bv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.bv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bv1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005481
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.q1', '8.br1'], 'contains': ['32.l1', '32.bj1', '80.bw1'], 'core': '32.l1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1521361, 1856661, 64321, 1984831], 'label': '640.19151.16.bw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.q1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.bw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bw1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005482
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.r1', '8.bs1'], 'contains': ['32.l1', '32.bk1', '80.bx1'], 'core': '32.l1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [480281, 1856661, 64321, 1984831], 'label': '640.19151.16.bx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.r1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '16.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bx1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005483
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.p1', '8.bt1'], 'contains': ['32.m1', '32.bi1', '80.by1'], 'core': '32.m1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1504971, 576641, 64321, 1984831], 'label': '640.19151.16.by1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.p1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.by1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.by1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005484
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.f1', '2.g1'], 'contains': ['8.b1', '8.e1', '8.g1', '8.m1', '8.o1', '8.bi1', '8.bk1', '20.e1'], 'core': '4.e1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 64321, 576641, 1344021, 624451, 704811], 'label': '640.19151.4.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1', 'normal_contained_in': ['2.a1', '2.f1', '2.g1'], 'normal_contains': ['8.b1', '8.e1', '8.g1', '8.m1', '8.o1'], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005485
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.s1', '8.bu1'], 'contains': ['32.m1', '32.bl1', '80.bz1'], 'core': '32.m1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [497501, 2497471, 64321, 576641], 'label': '640.19151.16.bz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.s1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '16.bz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bz1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005486
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.x1', '8.bg1', '8.bp1'], 'contains': ['32.n1', '32.bb1', '32.bc1', '32.bd1', '32.be1', '80.ca1'], 'core': '32.n1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [64801, 1217451, 64321, 576071], 'label': '640.19151.16.ca1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '16.ca1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ca1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005487
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.y1', '8.bg1', '8.bq1'], 'contains': ['32.o1', '32.bb1', '32.bc1', '32.bd1', '32.bf1', '80.cb1'], 'core': '32.o1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [64801, 576641, 64321, 576071], 'label': '640.19151.16.cb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '16.cb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005488
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.y1', '8.bh1', '8.bp1'], 'contains': ['32.p1', '32.bb1', '32.bc1', '32.bd1', '32.bg1', '80.cc1'], 'core': '32.p1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [64801, 1856661, 64321, 576071], 'label': '640.19151.16.cc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '16.cc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005489
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.x1', '8.bh1', '8.bq1'], 'contains': ['32.q1', '32.bb1', '32.bc1', '32.bd1', '32.bh1', '80.cd1'], 'core': '32.q1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [64801, 2497471, 64321, 576071], 'label': '640.19151.16.cd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '16.cd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005490
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.v1', '8.bj1', '8.bt1'], 'contains': ['32.o1', '32.bi1', '80.ce1'], 'core': '32.o1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [64801, 576641, 64321, 1504171], 'label': '640.19151.16.ce1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.v1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.ce1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ce1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005491
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.w1', '8.bc1', '8.br1'], 'contains': ['32.p1', '32.bj1', '80.cf1'], 'core': '32.p1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [64801, 1856661, 64321, 1520561], 'label': '640.19151.16.cf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.w1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.cf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005492
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.bd1', '8.bl1', '8.bs1'], 'contains': ['32.p1', '32.bk1', '80.cg1'], 'core': '32.p1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [64801, 1856661, 64321, 481081], 'label': '640.19151.16.cg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '16.cg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005493
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.ba1', '8.bm1', '8.bu1'], 'contains': ['32.q1', '32.bl1', '80.ch1'], 'core': '32.q1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [64801, 2497471, 64321, 496701], 'label': '640.19151.16.ch1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1', 'old_label': '16.ch1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ch1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005494
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1', 'complements': ['32.bi1', '32.bk1', '32.bj1', '32.bl1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '10.a1'], 'contains': ['40.a1', '40.b1', '40.c1', '40.d1'], 'core': '20.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 65031, 113211], 'label': '640.19151.20.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.a1', 'normal_contained_in': ['4.b1'], 'normal_contains': ['40.a1', '40.b1', '40.c1', '40.d1'], 'normalizer': '1.a1', 'old_label': '20.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005495
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '2.d1', '2.f1'], 'contains': ['8.b1', '8.p1', '8.v1', '8.bj1', '8.bt1', '20.f1'], 'core': '4.f1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 64321, 1984831, 1344021, 1504171, 576641], 'label': '640.19151.4.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1', 'normal_contained_in': ['2.b1', '2.d1', '2.f1'], 'normal_contains': ['8.b1', '8.p1', '8.v1'], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005496
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '10.a1', '10.b1', '10.c1'], 'contains': ['40.a1', '40.e1', '40.f1', '40.i1', '40.j1', '40.v1', '40.w1', '40.bf1', '40.bg1', '40.bp1', '40.bq1'], 'core': '40.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 576071, 1984831, 1344021, 576641], 'label': '640.19151.20.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005497
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '10.a1'], 'contains': ['40.a1', '40.g1', '40.h1', '40.k1'], 'core': '40.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 65031, 624251], 'label': '640.19151.20.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005498
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '10.a1', '10.d1', '10.e1'], 'contains': ['40.b1', '40.e1', '40.g1', '40.l1', '40.n1', '40.x1', '40.z1'], 'core': '40.b1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 113211, 1984831, 576641], 'label': '640.19151.20.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005499
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1', '10.a1', '10.f1', '10.g1'], 'contains': ['40.c1', '40.e1', '40.h1', '40.m1', '40.o1', '40.bh1', '40.bj1'], 'core': '40.c1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 624451, 576641, 1344021], 'label': '640.19151.20.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005500
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1', '10.b1', '10.d1', '10.f1'], 'contains': ['40.e1', '40.p1', '40.ba1', '40.bi1', '40.bt1'], 'core': '80.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 1504171, 1984831, 1344021], 'label': '640.19151.20.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005501
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1', '10.c1', '10.d1', '10.g1'], 'contains': ['40.e1', '40.q1', '40.bb1', '40.bk1', '40.br1'], 'core': '80.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 1520561, 1984831, 1344021], 'label': '640.19151.20.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005502
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1', '10.b1', '10.e1', '10.g1'], 'contains': ['40.e1', '40.r1', '40.bc1', '40.bl1', '40.bs1'], 'core': '80.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 481081, 1984831, 1344021], 'label': '640.19151.20.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005503
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.i1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1', '10.c1', '10.e1', '10.f1'], 'contains': ['40.e1', '40.s1', '40.y1', '40.bm1', '40.bu1'], 'core': '80.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 496701, 576641, 1344021], 'label': '640.19151.20.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005504
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1', '10.a1'], 'contains': ['40.b1', '40.f1', '40.h1', '40.t1'], 'core': '40.b1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 576071, 113211], 'label': '640.19151.20.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005505
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1', '10.a1'], 'contains': ['40.c1', '40.f1', '40.g1', '40.u1'], 'core': '40.c1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 576071, 624251], 'label': '640.19151.20.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005506
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '2.d1', '2.g1'], 'contains': ['8.b1', '8.q1', '8.w1', '8.bc1', '8.br1', '20.g1'], 'core': '4.g1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 64321, 1984831, 1344021, 1520561, 1856661], 'label': '640.19151.4.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': ['2.c1', '2.d1', '2.g1'], 'normal_contains': ['8.b1', '8.q1', '8.w1'], 'normalizer': '1.a1', 'old_label': '4.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005507
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.l1', '10.a1'], 'contains': ['40.d1', '40.i1', '40.k1', '40.l1', '40.m1', '40.t1', '40.u1'], 'core': '40.d1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [577441, 576071, 113211], 'label': '640.19151.20.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005508
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.m1', '10.a1', '10.h1'], 'contains': ['40.d1', '40.j1', '40.k1', '40.n1', '40.o1', '40.t1', '40.u1'], 'core': '40.d1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [112411, 576071, 576641], 'label': '640.19151.20.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005509
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.n1', '10.b1', '10.h1'], 'contains': ['40.j1', '40.p1', '40.r1', '40.bd1'], 'core': '80.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1504971, 576071, 1984831], 'label': '640.19151.20.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005510
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.o1', '10.c1', '10.h1'], 'contains': ['40.j1', '40.q1', '40.s1', '40.bn1'], 'core': '80.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1521361, 576071, 1344021], 'label': '640.19151.20.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005511
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.p1', '10.d1', '10.h1'], 'contains': ['40.n1', '40.p1', '40.q1', '40.be1'], 'core': '80.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1504971, 113211, 1984831], 'label': '640.19151.20.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.p1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005512
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.q1', '10.e1', '10.h1'], 'contains': ['40.n1', '40.r1', '40.s1'], 'core': '80.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [112411, 481081], 'label': '640.19151.20.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.q1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005513
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.r1', '10.f1', '10.h1'], 'contains': ['40.o1', '40.p1', '40.s1'], 'core': '80.d1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1504971, 624451], 'label': '640.19151.20.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.r1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005514
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.s1', '10.g1', '10.h1'], 'contains': ['40.o1', '40.q1', '40.r1', '40.bo1'], 'core': '80.d1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1521361, 624451, 1344021], 'label': '640.19151.20.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.s1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005515
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.t1', '10.b1'], 'contains': ['40.w1', '40.ba1', '40.bc1', '40.bd1'], 'core': '160.b1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [64801, 576071, 1504171], 'label': '640.19151.20.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '20.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005516
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.u1', '10.d1'], 'contains': ['40.z1', '40.ba1', '40.bb1', '40.be1'], 'core': '160.b1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [64801, 1504171, 113211], 'label': '640.19151.20.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '20.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.u1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005517
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '2.e1', '2.g1'], 'contains': ['8.b1', '8.r1', '8.bd1', '8.bl1', '8.bs1', '20.h1'], 'core': '4.h1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 64321, 1984831, 1344021, 481081, 1856661], 'label': '640.19151.4.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1', 'normal_contained_in': ['2.b1', '2.e1', '2.g1'], 'normal_contains': ['8.b1', '8.r1'], 'normalizer': '1.a1', 'old_label': '4.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005518
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.v1', '10.c1'], 'contains': ['40.bg1', '40.bk1', '40.bm1', '40.bn1'], 'core': '160.c1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [64801, 576071, 1520561], 'label': '640.19151.20.v1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '20.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.v1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005519
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '20.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.w1', '10.g1'], 'contains': ['40.bj1', '40.bk1', '40.bl1', '40.bo1'], 'core': '160.c1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [64801, 481081, 1520561], 'label': '640.19151.20.w1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.g1', 'old_label': '20.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.w1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005520
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1', '16.c1', '16.d1', '16.e1', '16.f1', '16.g1', '16.h1', '16.i1'], 'contains': ['64.a1', '64.b1', '64.c1', '160.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1984831, 64321, 1344021], 'label': '640.19151.32.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1', '16.c1', '16.d1', '16.e1', '16.f1', '16.g1', '16.h1', '16.i1'], 'normal_contains': ['64.a1', '64.b1', '64.c1', '160.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005521
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '16.j1', '16.k1', '16.r1', '16.s1', '16.t1', '16.u1'], 'contains': ['64.a1', '64.d1', '160.b1'], 'core': '32.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [64801, 64321, 1344021], 'label': '640.19151.32.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.b1', 'normal_contained_in': ['16.a1', '16.j1', '16.k1'], 'normal_contains': ['64.a1', '64.d1', '160.b1'], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005522
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.c1', '16.j1', '16.k1', '16.v1', '16.y1'], 'contains': ['64.a1', '64.e1', '160.f1'], 'core': '32.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [577441, 64321, 1344021], 'label': '640.19151.32.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.c1', 'normal_contained_in': ['16.c1', '16.j1', '16.k1'], 'normal_contains': ['64.a1', '64.e1'], 'normalizer': '1.a1', 'old_label': '32.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005523
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '16.j1', '16.w1', '16.z1', '16.ba1'], 'contains': ['64.a1', '64.f1', '64.i1', '160.g1'], 'core': '32.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2497471, 64321, 1344021], 'label': '640.19151.32.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.d1', 'normal_contained_in': ['16.d1', '16.j1'], 'normal_contains': ['64.a1', '64.f1', '64.i1'], 'normalizer': '1.a1', 'old_label': '32.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005524
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '16.k1', '16.l1', '16.x1', '16.bb1', '16.bc1', '16.bd1'], 'contains': ['64.a1', '64.g1', '64.h1', '160.h1'], 'core': '32.e1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [576641, 64321, 1344021], 'label': '640.19151.32.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.e1', 'normal_contained_in': ['16.d1', '16.k1', '16.l1'], 'normal_contains': ['64.a1', '64.g1', '64.h1'], 'normalizer': '1.a1', 'old_label': '32.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005544
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.e1', '16.bf1', '16.bi1', '16.bj1', '16.bk1'], 'contains': ['64.b1', '64.k1', '160.p1'], 'core': '64.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [576871, 64321, 704811], 'label': '640.19151.32.w1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '32.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.w1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005525
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '16.m1', '16.n1', '16.be1', '16.bf1', '16.bg1', '16.bh1'], 'contains': ['64.b1', '64.d1', '160.c1'], 'core': '32.f1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [64801, 64321, 704811], 'label': '640.19151.32.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.f1', 'normal_contained_in': ['16.a1', '16.m1', '16.n1'], 'normal_contains': ['64.b1', '64.d1', '160.c1'], 'normalizer': '1.a1', 'old_label': '32.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005526
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.c1', '16.m1', '16.n1', '16.bi1', '16.bl1'], 'contains': ['64.b1', '64.e1', '160.m1'], 'core': '32.g1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [577441, 64321, 704811], 'label': '640.19151.32.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.g1', 'normal_contained_in': ['16.c1', '16.m1', '16.n1'], 'normal_contains': ['64.b1', '64.e1'], 'normalizer': '1.a1', 'old_label': '32.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005527
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '16.m1', '16.bj1', '16.bm1', '16.bn1'], 'contains': ['64.b1', '64.f1', '64.g1', '160.n1'], 'core': '32.h1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [704811, 64321, 576641], 'label': '640.19151.32.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.h1', 'normal_contained_in': ['16.d1', '16.m1'], 'normal_contains': ['64.b1', '64.f1', '64.g1'], 'normalizer': '1.a1', 'old_label': '32.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005528
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '2.e1', '2.f1'], 'contains': ['8.b1', '8.s1', '8.ba1', '8.bm1', '8.bu1', '20.i1'], 'core': '4.i1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 64321, 576641, 1344021, 496701, 2497471], 'label': '640.19151.4.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1', 'normal_contained_in': ['2.c1', '2.e1', '2.f1'], 'normal_contains': ['8.b1', '8.s1'], 'normalizer': '1.a1', 'old_label': '4.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005529
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '16.n1', '16.o1', '16.bk1', '16.bo1', '16.bp1', '16.bq1'], 'contains': ['64.b1', '64.h1', '64.i1', '160.o1'], 'core': '32.i1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [704811, 64321, 1856661], 'label': '640.19151.32.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.i1', 'normal_contained_in': ['16.d1', '16.n1', '16.o1'], 'normal_contains': ['64.b1', '64.h1', '64.i1'], 'normalizer': '1.a1', 'old_label': '32.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005530
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '16.p1', '16.q1', '16.br1', '16.bs1'], 'contains': ['64.c1', '64.d1', '160.d1'], 'core': '32.j1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [64801, 64321, 1984831], 'label': '640.19151.32.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.j1', 'normal_contained_in': ['16.a1', '16.p1', '16.q1'], 'normal_contains': ['64.c1', '64.d1', '160.d1'], 'normalizer': '1.a1', 'old_label': '32.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005531
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.c1', '16.p1', '16.q1', '16.bt1'], 'contains': ['64.c1', '64.e1', '160.t1'], 'core': '32.k1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [577441, 64321, 1984831], 'label': '640.19151.32.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.k1', 'normal_contained_in': ['16.c1', '16.p1', '16.q1'], 'normal_contains': ['64.c1', '64.e1'], 'normalizer': '1.a1', 'old_label': '32.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005532
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '16.p1', '16.bu1', '16.bw1', '16.bx1'], 'contains': ['64.c1', '64.f1', '64.h1', '160.u1'], 'core': '32.l1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1984831, 64321, 1856661], 'label': '640.19151.32.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.l1', 'normal_contained_in': ['16.d1', '16.p1'], 'normal_contains': ['64.c1', '64.f1', '64.h1'], 'normalizer': '1.a1', 'old_label': '32.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005533
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '16.q1', '16.bv1', '16.by1', '16.bz1'], 'contains': ['64.c1', '64.g1', '64.i1', '160.v1'], 'core': '32.m1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1984831, 64321, 576641], 'label': '640.19151.32.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.m1', 'normal_contained_in': ['16.d1', '16.q1'], 'normal_contains': ['64.c1', '64.g1', '64.i1'], 'normalizer': '1.a1', 'old_label': '32.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005534
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.j1', '16.m1', '16.p1', '16.ca1'], 'contains': ['64.d1', '64.e1', '64.f1', '160.y1'], 'core': '32.n1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 64321, 1217451], 'label': '640.19151.32.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.n1', 'normal_contained_in': ['16.j1', '16.m1', '16.p1'], 'normal_contains': ['64.d1', '64.e1', '64.f1'], 'normalizer': '1.a1', 'old_label': '32.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005535
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.k1', '16.m1', '16.q1', '16.cb1', '16.ce1'], 'contains': ['64.d1', '64.e1', '64.g1', '160.z1'], 'core': '32.o1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 64321, 576641], 'label': '640.19151.32.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.o1', 'normal_contained_in': ['16.k1', '16.m1', '16.q1'], 'normal_contains': ['64.d1', '64.e1', '64.g1'], 'normalizer': '1.a1', 'old_label': '32.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005536
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.k1', '16.n1', '16.p1', '16.cc1', '16.cf1', '16.cg1'], 'contains': ['64.d1', '64.e1', '64.h1', '160.ba1'], 'core': '32.p1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 64321, 1856661], 'label': '640.19151.32.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.p1', 'normal_contained_in': ['16.k1', '16.n1', '16.p1'], 'normal_contains': ['64.d1', '64.e1', '64.h1'], 'normalizer': '1.a1', 'old_label': '32.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005537
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.j1', '16.n1', '16.q1', '16.cd1', '16.ch1'], 'contains': ['64.d1', '64.e1', '64.i1', '160.bb1'], 'core': '32.q1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 64321, 2497471], 'label': '640.19151.32.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.q1', 'normal_contained_in': ['16.j1', '16.n1', '16.q1'], 'normal_contains': ['64.d1', '64.e1', '64.i1'], 'normalizer': '1.a1', 'old_label': '32.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005538
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '16.r1', '16.v1', '16.w1', '16.x1'], 'contains': ['64.a1', '64.j1', '160.e1'], 'core': '64.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64231, 64321, 1344021], 'label': '640.19151.32.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '32.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005539
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': ['160.bi1', '160.bk1', '160.bj1', '160.bl1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.c1', '8.d1', '8.g1', '8.t1', '20.j1'], 'core': '4.j1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 64321, 113211, 1984831, 576071, 1344021], 'label': '640.19151.4.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.j1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.c1', '8.d1', '8.g1', '8.t1'], 'normalizer': '1.a1', 'old_label': '4.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005540
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.e1', '16.s1', '16.v1', '16.w1', '16.x1'], 'contains': ['64.a1', '64.k1', '160.i1'], 'core': '64.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [576871, 64321, 1344021], 'label': '640.19151.32.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '32.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005541
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.f1', '16.t1', '16.y1', '16.z1', '16.bb1'], 'contains': ['64.a1', '160.j1'], 'core': '64.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [112411, 1344021, 64321], 'label': '640.19151.32.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005542
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.h1', '16.u1', '16.y1', '16.z1', '16.bb1'], 'contains': ['64.a1', '160.k1'], 'core': '64.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [625051, 64321, 1344021], 'label': '640.19151.32.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.u1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005543
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '16.be1', '16.bi1', '16.bj1', '16.bk1'], 'contains': ['64.b1', '64.j1', '160.l1'], 'core': '64.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64231, 64321, 704811], 'label': '640.19151.32.v1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '32.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.v1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005659
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.bh1', '40.h1', '40.bh1', '40.bj1'], 'contains': ['160.c1', '160.r1'], 'core': '160.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 624451], 'label': '640.19151.80.be1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.g1', 'old_label': '80.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.be1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005545
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.g1', '16.bg1', '16.bl1', '16.bm1', '16.bo1'], 'contains': ['64.b1', '160.q1'], 'core': '64.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [112611, 704811, 64321], 'label': '640.19151.32.x1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '32.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.x1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005546
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.i1', '16.bh1', '16.bl1', '16.bm1', '16.bo1'], 'contains': ['64.b1', '160.r1'], 'core': '64.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [625251, 64321, 704811], 'label': '640.19151.32.y1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '32.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.y1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005547
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '16.br1', '16.bt1', '16.bu1', '16.bv1'], 'contains': ['64.c1', '64.j1', '160.s1'], 'core': '64.c1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64231, 64321, 1984831], 'label': '640.19151.32.z1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '32.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.z1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005548
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.e1', '16.bs1', '16.bt1', '16.bu1', '16.bv1'], 'contains': ['64.c1', '64.k1', '160.w1'], 'core': '64.c1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [576871, 64321, 1984831], 'label': '640.19151.32.ba1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '32.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ba1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005549
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.r1', '16.be1', '16.br1', '16.ca1', '16.cb1', '16.cc1', '16.cd1'], 'contains': ['64.d1', '64.j1', '160.x1'], 'core': '64.d1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [64801, 64321, 65031], 'label': '640.19151.32.bb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '32.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005550
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.c1', '4.d1', '4.e1', '4.j1', '4.k1', '4.l1', '4.m1', '10.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 1344021, 113211, 576641, 576071, 64321, 1984831], 'label': '640.19151.2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.c1', '4.d1', '4.e1', '4.j1', '4.k1', '4.l1', '4.m1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005551
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': ['160.bi1', '160.bk1', '160.bj1', '160.bl1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.c1', '8.e1', '8.f1', '8.u1', '20.k1'], 'core': '4.k1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 64321, 624251, 1984831, 576071, 1344021], 'label': '640.19151.4.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.k1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.c1', '8.e1', '8.f1', '8.u1'], 'normalizer': '1.a1', 'old_label': '4.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005552
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.s1', '16.bf1', '16.bs1', '16.ca1', '16.cb1', '16.cc1', '16.cd1'], 'contains': ['64.d1', '64.k1', '160.bc1'], 'core': '64.d1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [64801, 64321, 576071], 'label': '640.19151.32.bc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '32.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005553
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.v1', '16.bi1', '16.bt1', '16.ca1', '16.cb1', '16.cc1', '16.cd1'], 'contains': ['64.e1', '64.j1', '64.k1', '160.bd1'], 'core': '64.e1', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [577441, 64321, 576071], 'label': '640.19151.32.bd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '32.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005554
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.w1', '16.bj1', '16.bu1', '16.ca1'], 'contains': ['64.f1', '64.j1', '64.k1', '160.be1'], 'core': '64.f1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [576871, 64321, 1217451], 'label': '640.19151.32.be1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '32.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.be1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005555
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.x1', '16.bj1', '16.bv1', '16.cb1'], 'contains': ['64.g1', '64.j1', '64.k1', '160.bf1'], 'core': '64.g1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [576871, 64321, 576641], 'label': '640.19151.32.bf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '32.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005556
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.x1', '16.bk1', '16.bu1', '16.cc1'], 'contains': ['64.h1', '64.j1', '64.k1', '160.bg1'], 'core': '64.h1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [576871, 64321, 1856661], 'label': '640.19151.32.bg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '32.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005557
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.w1', '16.bk1', '16.bv1', '16.cd1'], 'contains': ['64.i1', '64.j1', '64.k1', '160.bh1'], 'core': '64.i1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [576871, 64321, 2497471], 'label': '640.19151.32.bh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '32.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005558
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.l1', '16.bn1', '16.by1', '16.ce1'], 'contains': ['64.g1', '160.bi1'], 'core': '64.g1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1504971, 64321, 576641], 'label': '640.19151.32.bi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bi1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005559
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.o1', '16.bc1', '16.bw1', '16.cf1'], 'contains': ['64.h1', '160.bj1'], 'core': '64.h1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1521361, 64321, 1856661], 'label': '640.19151.32.bj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005560
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.bd1', '16.bp1', '16.bx1', '16.cg1'], 'contains': ['64.h1', '160.bk1'], 'core': '64.h1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [480281, 64321, 1856661], 'label': '640.19151.32.bk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.r1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005561
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '32.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.ba1', '16.bq1', '16.bz1', '16.ch1'], 'contains': ['64.i1', '160.bl1'], 'core': '64.i1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [497501, 64321, 2497471], 'label': '640.19151.32.bl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.s1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1', 'old_label': '32.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005562
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': ['160.bi1', '160.bk1', '160.bj1', '160.bl1'], 'conjugacy_class_count': 4, 'contained_in': ['2.a1'], 'contains': ['8.h1', '8.j1', '8.k1', '8.l1', '8.m1', '8.t1', '8.u1', '20.l1'], 'core': '4.l1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [577441, 64321, 113211, 1984831, 576071, 1344021], 'label': '640.19151.4.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.l1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.h1', '8.j1', '8.k1', '8.l1', '8.m1', '8.t1', '8.u1'], 'normalizer': '1.a1', 'old_label': '4.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005563
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '20.a1', '20.b1', '20.c1'], 'contains': ['80.a1', '80.b1', '80.j1', '80.z1', '80.bp1'], 'core': '40.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 65031, 1984831, 1344021], 'label': '640.19151.40.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.a1', 'normal_contained_in': ['8.a1', '20.a1'], 'normal_contains': ['80.a1', '80.b1'], 'normalizer': '1.a1', 'old_label': '40.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005564
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1', '20.a1', '20.d1', '20.j1'], 'contains': ['80.a1', '80.c1', '80.n1'], 'core': '40.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 113211, 1984831], 'label': '640.19151.40.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.b1', 'normal_contained_in': ['8.d1', '20.a1'], 'normal_contains': ['80.a1', '80.c1'], 'normalizer': '1.a1', 'old_label': '40.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005565
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.e1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1', '20.a1', '20.e1', '20.k1'], 'contains': ['80.a1', '80.d1', '80.bd1'], 'core': '40.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 113411, 1344021], 'label': '640.19151.40.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.c1', 'normal_contained_in': ['8.e1', '20.a1'], 'normal_contains': ['80.a1', '80.d1'], 'normalizer': '1.a1', 'old_label': '40.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005566
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1', 'complements': ['16.ce1', '16.cf1', '16.cg1', '16.ch1'], 'conjugacy_class_count': 4, 'contained_in': ['8.j1', '20.a1', '20.l1', '20.m1'], 'contains': ['80.b1', '80.c1', '80.d1'], 'core': '40.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [112411, 65031], 'label': '640.19151.40.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.d1', 'normal_contained_in': ['8.j1', '20.a1'], 'normal_contains': ['80.b1', '80.c1', '80.d1'], 'normalizer': '1.a1', 'old_label': '40.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005567
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '20.b1', '20.d1', '20.e1', '20.f1', '20.g1', '20.h1', '20.i1'], 'contains': ['80.a1', '80.e1', '80.f1', '80.k1', '80.l1', '80.ba1', '80.bb1', '80.bq1', '80.br1'], 'core': '80.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 1984831, 576641, 1344021], 'label': '640.19151.40.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005568
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '20.b1', '20.j1', '20.k1'], 'contains': ['80.a1', '80.g1', '80.m1', '80.bc1', '80.bs1'], 'core': '80.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 576071, 1984831, 1344021], 'label': '640.19151.40.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005569
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1', '20.c1', '20.d1', '20.k1'], 'contains': ['80.a1', '80.h1', '80.o1'], 'core': '80.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 624251, 1984831], 'label': '640.19151.40.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005570
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1', '20.c1', '20.e1', '20.j1'], 'contains': ['80.a1', '80.i1', '80.be1'], 'core': '80.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 624451, 1344021], 'label': '640.19151.40.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005571
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.h1', '20.b1', '20.l1'], 'contains': ['80.b1', '80.e1', '80.g1', '80.p1', '80.bf1', '80.bt1'], 'core': '80.b1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [577441, 576071, 1984831, 1344021], 'label': '640.19151.40.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005572
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.i1', '20.b1', '20.m1', '20.n1', '20.o1'], 'contains': ['80.b1', '80.f1', '80.g1', '80.q1', '80.r1', '80.bg1', '80.bh1', '80.bu1', '80.bv1'], 'core': '80.b1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [576871, 1984831, 576641, 1344021], 'label': '640.19151.40.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005573
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['2.a1', '2.h1'], 'contains': ['8.i1', '8.j1', '8.k1', '8.n1', '8.o1', '8.t1', '8.u1', '20.m1'], 'core': '4.m1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [112411, 64321, 576641, 1984831, 576071, 1344021], 'label': '640.19151.4.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.m1', 'normal_contained_in': ['2.a1', '2.h1'], 'normal_contains': ['8.i1', '8.j1', '8.k1', '8.n1', '8.o1', '8.t1', '8.u1'], 'normalizer': '1.a1', 'old_label': '4.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005574
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.k1', '20.c1', '20.l1', '20.m1'], 'contains': ['80.b1', '80.h1', '80.i1'], 'core': '80.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [625051, 65031], 'label': '640.19151.40.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005575
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.l1', '20.d1', '20.l1'], 'contains': ['80.c1', '80.e1', '80.h1', '80.s1'], 'core': '80.c1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [577441, 113211, 1984831], 'label': '640.19151.40.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005576
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.m1', '20.e1', '20.l1'], 'contains': ['80.d1', '80.e1', '80.i1', '80.bi1'], 'core': '80.d1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [577441, 624451, 1344021], 'label': '640.19151.40.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005577
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.n1', '20.d1', '20.m1', '20.p1', '20.q1'], 'contains': ['80.c1', '80.f1', '80.h1', '80.t1', '80.v1'], 'core': '80.c1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [112411, 1984831, 576641], 'label': '640.19151.40.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005578
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.o1', '20.e1', '20.m1', '20.r1', '20.s1'], 'contains': ['80.d1', '80.f1', '80.i1', '80.bj1', '80.bl1'], 'core': '80.d1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [625251, 576641, 1344021], 'label': '640.19151.40.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005579
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.p1', '20.f1', '20.n1', '20.p1', '20.r1'], 'contains': ['80.f1', '80.w1', '80.bk1', '80.by1'], 'core': '160.a1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [1504971, 1984831, 1344021], 'label': '640.19151.40.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.p1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005580
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.q1', '20.g1', '20.o1', '20.p1', '20.s1'], 'contains': ['80.f1', '80.x1', '80.bm1', '80.bw1'], 'core': '160.a1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [1521361, 1984831, 1344021], 'label': '640.19151.40.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.q1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005581
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.r1', '20.h1', '20.n1', '20.q1', '20.s1'], 'contains': ['80.f1', '80.y1', '80.bn1', '80.bx1'], 'core': '160.a1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [480281, 1984831, 1344021], 'label': '640.19151.40.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.r1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005582
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.s1', '20.i1', '20.o1', '20.q1', '20.r1'], 'contains': ['80.f1', '80.u1', '80.bo1', '80.bz1'], 'core': '160.a1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [497501, 576641, 1344021], 'label': '640.19151.40.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.s1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005583
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.t1', '20.j1', '20.l1', '20.m1'], 'contains': ['80.c1', '80.g1', '80.i1'], 'core': '80.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [112411, 576071], 'label': '640.19151.40.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.t1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005584
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['2.b1', '2.h1'], 'contains': ['8.i1', '8.p1', '8.r1', '8.be1', '20.n1'], 'core': '4.n1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1504971, 64321, 1984831, 576641, 576071, 1344021], 'label': '640.19151.4.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.n1', 'normal_contained_in': ['2.b1', '2.h1'], 'normal_contains': ['8.i1', '8.p1', '8.r1'], 'normalizer': '1.a1', 'old_label': '4.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005585
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.u1', '20.k1', '20.l1', '20.m1'], 'contains': ['80.d1', '80.g1', '80.h1'], 'core': '80.d1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [625051, 576071], 'label': '640.19151.40.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.u1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.u1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005586
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.x1', '20.b1'], 'contains': ['80.j1', '80.k1', '80.m1', '80.p1', '80.q1', '80.ca1', '80.cd1'], 'core': '160.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 576071, 2497471, 1344021], 'label': '640.19151.40.v1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '40.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.v1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005587
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.y1', '20.b1', '20.t1'], 'contains': ['80.j1', '80.l1', '80.m1', '80.p1', '80.r1', '80.cb1', '80.cc1'], 'core': '160.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 576071, 576641, 1344021], 'label': '640.19151.40.w1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '40.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.w1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005588
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.z1', '20.d1'], 'contains': ['80.k1', '80.n1', '80.o1', '80.s1', '80.t1'], 'core': '160.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 113211, 2497471], 'label': '640.19151.40.x1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '40.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.x1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005589
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.ba1', '20.i1'], 'contains': ['80.k1', '80.u1', '80.ch1'], 'core': '160.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 496701, 1344021], 'label': '640.19151.40.y1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.f1', 'old_label': '40.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.y1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005590
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.bb1', '20.d1', '20.u1'], 'contains': ['80.l1', '80.n1', '80.o1', '80.s1', '80.v1'], 'core': '160.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 113211, 576641], 'label': '640.19151.40.z1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '40.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.z1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005591
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.v1', '20.f1', '20.t1', '20.u1'], 'contains': ['80.l1', '80.w1', '80.ce1'], 'core': '160.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 1504171, 1344021], 'label': '640.19151.40.ba1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.v1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.ba1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005592
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.bc1', '20.g1', '20.u1'], 'contains': ['80.l1', '80.x1', '80.cf1'], 'core': '160.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 1520561, 1344021], 'label': '640.19151.40.bb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '40.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.bb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005593
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.bd1', '20.h1', '20.t1'], 'contains': ['80.l1', '80.y1', '80.cg1'], 'core': '160.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 481081, 1344021], 'label': '640.19151.40.bc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '40.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.bc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005594
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.be1', '20.n1', '20.t1'], 'contains': ['80.r1', '80.w1', '80.y1'], 'core': '320.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1504971, 576071], 'label': '640.19151.40.bd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '40.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.bd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005595
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['2.c1', '2.h1'], 'contains': ['8.i1', '8.q1', '8.s1', '8.bn1', '20.o1'], 'core': '4.o1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1521361, 64321, 1344021, 704811, 576071, 1856661], 'label': '640.19151.4.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.o1', 'normal_contained_in': ['2.c1', '2.h1'], 'normal_contains': ['8.i1', '8.q1', '8.s1'], 'normalizer': '1.a1', 'old_label': '4.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005596
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.bf1', '20.p1', '20.u1'], 'contains': ['80.v1', '80.w1', '80.x1'], 'core': '320.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1504971, 113211], 'label': '640.19151.40.be1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.p1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '40.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.be1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005597
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.bg1', '20.b1'], 'contains': ['80.z1', '80.ba1', '80.bc1', '80.bf1', '80.bg1', '80.ca1', '80.cb1'], 'core': '160.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 576071, 704811, 576641], 'label': '640.19151.40.bf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '40.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.bf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005598
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.bh1', '20.b1', '20.v1'], 'contains': ['80.z1', '80.bb1', '80.bc1', '80.bf1', '80.bh1', '80.cc1', '80.cd1'], 'core': '160.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 576071, 704811, 1856661], 'label': '640.19151.40.bg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '40.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.bg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005599
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.bi1', '20.e1'], 'contains': ['80.ba1', '80.bd1', '80.be1', '80.bi1', '80.bj1'], 'core': '160.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 624451, 576641], 'label': '640.19151.40.bh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.g1', 'old_label': '40.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.bh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005600
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.bj1', '20.f1'], 'contains': ['80.ba1', '80.bk1', '80.ce1'], 'core': '160.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 1504171, 704811], 'label': '640.19151.40.bi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '40.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.bi1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005601
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.bk1', '20.e1', '20.w1'], 'contains': ['80.bb1', '80.bd1', '80.be1', '80.bi1', '80.bl1'], 'core': '160.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 624451, 1856661], 'label': '640.19151.40.bj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.g1', 'old_label': '40.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.bj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005602
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.w1', '20.g1', '20.v1', '20.w1'], 'contains': ['80.bb1', '80.bm1', '80.cf1'], 'core': '160.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 1520561, 704811], 'label': '640.19151.40.bk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.w1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.bk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005603
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.bl1', '20.h1', '20.w1'], 'contains': ['80.bb1', '80.bn1', '80.cg1'], 'core': '160.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 481081, 704811], 'label': '640.19151.40.bl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.g1', 'old_label': '40.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.bl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005604
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.bm1', '20.i1', '20.v1'], 'contains': ['80.bb1', '80.bo1', '80.ch1'], 'core': '160.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 496701, 1856661], 'label': '640.19151.40.bm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '40.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.bm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005605
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.bn1', '20.o1', '20.v1'], 'contains': ['80.bh1', '80.bm1', '80.bo1'], 'core': '320.b1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1521361, 576071], 'label': '640.19151.40.bn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '40.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.bn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005606
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': ['160.bc1', '160.bd1', '160.x1'], 'conjugacy_class_count': 4, 'contained_in': ['2.d1', '2.h1'], 'contains': ['8.n1', '8.p1', '8.q1', '8.bf1', '20.p1'], 'core': '4.p1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1504971, 64321, 1984831, 576641, 113211, 1344021], 'label': '640.19151.4.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.p1', 'normal_contained_in': ['2.d1', '2.h1'], 'normal_contains': ['8.n1', '8.p1', '8.q1'], 'normalizer': '1.a1', 'old_label': '4.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005607
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.bo1', '20.s1', '20.w1'], 'contains': ['80.bl1', '80.bm1', '80.bn1'], 'core': '320.b1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1521361, 624451], 'label': '640.19151.40.bo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.s1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.g1', 'old_label': '40.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.bo1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005608
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.bp1', '20.b1'], 'contains': ['80.bp1', '80.bq1', '80.bs1', '80.bt1', '80.bu1', '80.ca1', '80.cc1'], 'core': '160.d1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 576071, 1984831, 1856661], 'label': '640.19151.40.bp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.a1', 'old_label': '40.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.bp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005609
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.bq1', '20.b1'], 'contains': ['80.bp1', '80.br1', '80.bs1', '80.bt1', '80.bv1', '80.cb1', '80.cd1'], 'core': '160.d1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 576071, 1984831, 576641], 'label': '640.19151.40.bq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.a1', 'old_label': '40.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.bq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005610
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.br1', '20.g1'], 'contains': ['80.bq1', '80.bw1', '80.cf1'], 'core': '160.d1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 1520561, 1984831], 'label': '640.19151.40.br1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '40.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.br1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005611
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.bs1', '20.h1'], 'contains': ['80.bq1', '80.bx1', '80.cg1'], 'core': '160.d1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 481081, 1984831], 'label': '640.19151.40.bs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.e1', 'old_label': '40.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.bs1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005612
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.bt1', '20.f1'], 'contains': ['80.br1', '80.by1', '80.ce1'], 'core': '160.d1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 1504171, 1984831], 'label': '640.19151.40.bt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '40.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.bt1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005613
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '40.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.bu1', '20.i1'], 'contains': ['80.br1', '80.bz1', '80.ch1'], 'core': '160.d1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 496701, 576641], 'label': '640.19151.40.bu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.e1', 'old_label': '40.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.bu1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005614
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '64.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.b1', '32.c1', '32.d1', '32.e1', '32.r1', '32.s1', '32.t1', '32.u1'], 'contains': ['128.a1', '320.a1'], 'core': '64.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1344021, 64321], 'label': '640.19151.64.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1', '32.b1', '32.c1', '32.d1', '32.e1'], 'normal_contains': ['128.a1', '320.a1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005733
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.bj1', '80.x1', '80.bm1', '80.bw1', '80.cf1'], 'contains': ['320.i1'], 'core': '640.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1521361], 'label': '640.19151.160.bj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '160.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.bj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005615
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '64.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.f1', '32.g1', '32.h1', '32.i1', '32.v1', '32.w1', '32.x1', '32.y1'], 'contains': ['128.a1', '320.b1'], 'core': '64.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [704811, 64321], 'label': '640.19151.64.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.b1', 'normal_contained_in': ['32.a1', '32.f1', '32.g1', '32.h1', '32.i1'], 'normal_contains': ['128.a1', '320.b1'], 'normalizer': '1.a1', 'old_label': '64.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005616
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '64.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.j1', '32.k1', '32.l1', '32.m1', '32.z1', '32.ba1'], 'contains': ['128.a1', '320.c1'], 'core': '64.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1984831, 64321], 'label': '640.19151.64.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.c1', 'normal_contained_in': ['32.a1', '32.j1', '32.k1', '32.l1', '32.m1'], 'normal_contains': ['128.a1', '320.c1'], 'normalizer': '1.a1', 'old_label': '64.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005617
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': ['160.bc1', '160.bd1', '160.x1'], 'conjugacy_class_count': 4, 'contained_in': ['2.e1', '2.h1'], 'contains': ['8.n1', '8.r1', '8.s1', '20.q1'], 'core': '4.q1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [112411, 64321, 1984831, 1856661, 481081, 1344021], 'label': '640.19151.4.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.q1', 'normal_contained_in': ['2.e1', '2.h1'], 'normal_contains': ['8.n1', '8.r1', '8.s1'], 'normalizer': '1.a1', 'old_label': '4.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005618
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '64.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1', 'complements': ['10.h1'], 'conjugacy_class_count': 4, 'contained_in': ['32.b1', '32.f1', '32.j1', '32.n1', '32.o1', '32.p1', '32.q1', '32.bb1', '32.bc1'], 'contains': ['128.a1', '320.d1'], 'core': '64.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 64321], 'label': '640.19151.64.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.d1', 'normal_contained_in': ['32.b1', '32.f1', '32.j1', '32.n1', '32.o1', '32.p1', '32.q1'], 'normal_contains': ['128.a1', '320.d1'], 'normalizer': '1.a1', 'old_label': '64.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005619
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '64.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': ['10.h1'], 'conjugacy_class_count': 4, 'contained_in': ['32.c1', '32.g1', '32.k1', '32.n1', '32.o1', '32.p1', '32.q1', '32.bd1'], 'contains': ['128.a1', '320.f1'], 'core': '64.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [577441, 64321], 'label': '640.19151.64.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.e1', 'normal_contained_in': ['32.c1', '32.g1', '32.k1', '32.n1', '32.o1', '32.p1', '32.q1'], 'normal_contains': ['128.a1'], 'normalizer': '1.a1', 'old_label': '64.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005620
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '64.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.d1', '32.h1', '32.l1', '32.n1', '32.be1'], 'contains': ['128.a1', '320.g1'], 'core': '64.f1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1217451, 64321], 'label': '640.19151.64.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.f1', 'normal_contained_in': ['32.d1', '32.h1', '32.l1', '32.n1'], 'normal_contains': ['128.a1'], 'normalizer': '1.a1', 'old_label': '64.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005621
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '64.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.e1', '32.h1', '32.m1', '32.o1', '32.bf1', '32.bi1'], 'contains': ['128.a1', '320.h1'], 'core': '64.g1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [576641, 64321], 'label': '640.19151.64.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.g1', 'normal_contained_in': ['32.e1', '32.h1', '32.m1', '32.o1'], 'normal_contains': ['128.a1'], 'normalizer': '1.a1', 'old_label': '64.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005622
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '64.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.e1', '32.i1', '32.l1', '32.p1', '32.bg1', '32.bj1', '32.bk1'], 'contains': ['128.a1', '320.i1'], 'core': '64.h1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1856661, 64321], 'label': '640.19151.64.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.h1', 'normal_contained_in': ['32.e1', '32.i1', '32.l1', '32.p1'], 'normal_contains': ['128.a1'], 'normalizer': '1.a1', 'old_label': '64.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005623
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '64.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.d1', '32.i1', '32.m1', '32.q1', '32.bh1', '32.bl1'], 'contains': ['128.a1', '320.j1'], 'core': '64.i1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2497471, 64321], 'label': '640.19151.64.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.i1', 'normal_contained_in': ['32.d1', '32.i1', '32.m1', '32.q1'], 'normal_contains': ['128.a1'], 'normalizer': '1.a1', 'old_label': '64.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005624
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '64.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.r1', '32.v1', '32.z1', '32.bb1', '32.bd1', '32.be1', '32.bf1', '32.bg1', '32.bh1'], 'contains': ['128.a1', '320.e1'], 'core': '128.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [64231, 64321], 'label': '640.19151.64.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '64.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005625
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '64.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.s1', '32.w1', '32.ba1', '32.bc1', '32.bd1', '32.be1', '32.bf1', '32.bg1', '32.bh1'], 'contains': ['128.a1', '320.k1'], 'core': '128.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [576871, 64321], 'label': '640.19151.64.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '64.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005626
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '40.a1', '40.b1', '40.c1', '40.e1', '40.f1', '40.g1', '40.h1'], 'contains': ['160.a1', '160.b1', '160.c1', '160.d1'], 'core': '80.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 1984831, 1344021], 'label': '640.19151.80.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.a1', 'normal_contained_in': ['16.a1', '40.a1', '40.b1', '40.c1'], 'normal_contains': ['160.a1', '160.b1', '160.c1', '160.d1'], 'normalizer': '1.a1', 'old_label': '80.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005627
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '40.a1', '40.d1', '40.i1', '40.j1', '40.k1'], 'contains': ['160.a1', '160.e1', '160.l1', '160.s1'], 'core': '80.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [64231, 1984831, 1344021], 'label': '640.19151.80.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.b1', 'normal_contained_in': ['16.b1', '40.a1', '40.d1'], 'normal_contains': ['160.a1'], 'normalizer': '1.a1', 'old_label': '80.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005628
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': ['160.bc1', '160.bd1', '160.x1'], 'conjugacy_class_count': 4, 'contained_in': ['2.f1', '2.h1'], 'contains': ['8.o1', '8.p1', '8.s1', '20.r1'], 'core': '4.r1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1504971, 64321, 704811, 576641, 624451, 1344021], 'label': '640.19151.4.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.r1', 'normal_contained_in': ['2.f1', '2.h1'], 'normal_contains': ['8.o1', '8.p1', '8.s1'], 'normalizer': '1.a1', 'old_label': '4.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005629
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.f1', '40.b1', '40.d1', '40.l1', '40.n1', '40.t1'], 'contains': ['160.a1', '160.j1'], 'core': '80.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [112411, 1984831], 'label': '640.19151.80.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.c1', 'normal_contained_in': ['16.f1', '40.b1', '40.d1'], 'normal_contains': ['160.a1'], 'normalizer': '1.a1', 'old_label': '80.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005630
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.e1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.g1', '40.c1', '40.d1', '40.m1', '40.o1', '40.u1'], 'contains': ['160.a1', '160.q1'], 'core': '80.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [112611, 1344021], 'label': '640.19151.80.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.d1', 'normal_contained_in': ['16.g1', '40.c1', '40.d1'], 'normal_contains': ['160.a1'], 'normalizer': '1.a1', 'old_label': '80.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005631
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1', '40.e1', '40.i1', '40.l1', '40.m1'], 'contains': ['160.a1', '160.f1', '160.m1', '160.t1'], 'core': '160.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [577441, 1984831, 1344021], 'label': '640.19151.80.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005632
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '40.e1', '40.j1', '40.n1', '40.o1', '40.p1', '40.q1', '40.r1', '40.s1'], 'contains': ['160.a1', '160.g1', '160.h1', '160.n1', '160.o1', '160.u1', '160.v1'], 'core': '160.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [1984831, 576641, 1344021], 'label': '640.19151.80.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005633
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.e1', '40.f1', '40.i1', '40.j1', '40.t1', '40.u1'], 'contains': ['160.a1', '160.i1', '160.p1', '160.w1'], 'core': '160.a1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [576871, 1984831, 1344021], 'label': '640.19151.80.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005634
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.h1', '40.g1', '40.k1', '40.l1', '40.n1', '40.u1'], 'contains': ['160.a1', '160.k1'], 'core': '160.a1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [625051, 1984831], 'label': '640.19151.80.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005635
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.i1', '40.h1', '40.k1', '40.m1', '40.o1', '40.t1'], 'contains': ['160.a1', '160.r1'], 'core': '160.a1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [625251, 1344021], 'label': '640.19151.80.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005636
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.r1', '40.a1', '40.v1', '40.w1'], 'contains': ['160.b1', '160.e1', '160.x1'], 'core': '160.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 65031, 1344021], 'label': '640.19151.80.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '80.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005637
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.j1', '40.e1', '40.v1', '40.x1', '40.y1'], 'contains': ['160.b1', '160.f1', '160.g1', '160.y1', '160.bb1'], 'core': '160.b1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [64801, 2497471, 1344021], 'label': '640.19151.80.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005638
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.k1', '40.e1', '40.w1', '40.z1', '40.ba1', '40.bb1', '40.bc1'], 'contains': ['160.b1', '160.f1', '160.h1', '160.z1', '160.ba1'], 'core': '160.b1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [64801, 576641, 1344021], 'label': '640.19151.80.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005639
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': ['160.bc1', '160.bd1', '160.x1'], 'conjugacy_class_count': 4, 'contained_in': ['2.g1', '2.h1'], 'contains': ['8.o1', '8.q1', '8.r1', '8.bo1', '20.s1'], 'core': '4.s1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1521361, 64321, 1344021, 704811, 624451, 1856661], 'label': '640.19151.4.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.s1', 'normal_contained_in': ['2.g1', '2.h1'], 'normal_contains': ['8.o1', '8.q1', '8.r1'], 'normalizer': '1.a1', 'old_label': '4.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005640
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.s1', '40.f1', '40.v1', '40.w1'], 'contains': ['160.b1', '160.i1', '160.bc1'], 'core': '160.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 576071, 1344021], 'label': '640.19151.80.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '80.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005641
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.t1', '40.b1', '40.x1', '40.z1'], 'contains': ['160.b1', '160.j1'], 'core': '160.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 113211], 'label': '640.19151.80.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '80.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005642
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.u1', '40.g1', '40.x1', '40.z1'], 'contains': ['160.b1', '160.k1'], 'core': '160.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 624251], 'label': '640.19151.80.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '80.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005643
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.v1', '40.i1', '40.v1', '40.w1'], 'contains': ['160.e1', '160.f1', '160.i1', '160.bd1'], 'core': '320.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [577441, 576071, 1344021], 'label': '640.19151.80.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '80.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005644
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.w1', '40.j1', '40.v1'], 'contains': ['160.e1', '160.g1', '160.i1', '160.be1', '160.bh1'], 'core': '320.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [576871, 2497471, 1344021], 'label': '640.19151.80.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '80.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005645
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.x1', '40.j1', '40.w1', '40.bd1'], 'contains': ['160.e1', '160.h1', '160.i1', '160.bf1', '160.bg1'], 'core': '320.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [576871, 576641, 1344021], 'label': '640.19151.80.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '80.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005646
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.y1', '40.l1', '40.x1', '40.z1'], 'contains': ['160.f1', '160.j1', '160.k1'], 'core': '320.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [577441, 113211], 'label': '640.19151.80.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '80.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005647
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.z1', '40.n1', '40.x1'], 'contains': ['160.g1', '160.j1', '160.k1'], 'core': '320.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [112411, 2497471], 'label': '640.19151.80.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '80.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005648
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.ba1', '40.s1', '40.y1'], 'contains': ['160.g1', '160.bl1'], 'core': '320.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [497501, 1344021], 'label': '640.19151.80.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.s1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.f1', 'old_label': '80.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.u1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005649
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.bb1', '40.n1', '40.z1', '40.be1'], 'contains': ['160.h1', '160.j1', '160.k1'], 'core': '320.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [112411, 576641], 'label': '640.19151.80.v1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '80.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.v1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005650
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.b1'], 'contains': ['8.v1', '8.y1', '8.bd1', '8.be1', '20.t1'], 'core': '8.v1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [64801, 64321, 1504171, 576641, 576071, 1344021], 'label': '640.19151.4.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '4.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005651
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.l1', '40.p1', '40.ba1', '40.bd1', '40.be1'], 'contains': ['160.h1', '160.bi1'], 'core': '320.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1504971, 1344021], 'label': '640.19151.80.w1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.w1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005652
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.bc1', '40.q1', '40.bb1', '40.be1'], 'contains': ['160.h1', '160.bj1'], 'core': '320.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1521361, 1344021], 'label': '640.19151.80.x1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.q1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '80.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.x1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005653
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.bd1', '40.r1', '40.bc1', '40.bd1'], 'contains': ['160.h1', '160.bk1'], 'core': '320.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [480281, 1344021], 'label': '640.19151.80.y1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.r1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '80.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.y1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005654
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.be1', '40.a1', '40.bf1', '40.bg1'], 'contains': ['160.c1', '160.l1', '160.x1'], 'core': '160.c1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 65031, 704811], 'label': '640.19151.80.z1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '80.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.z1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005655
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.m1', '40.e1', '40.bf1', '40.bh1', '40.bi1'], 'contains': ['160.c1', '160.m1', '160.n1', '160.y1', '160.z1'], 'core': '160.c1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [64801, 704811, 576641], 'label': '640.19151.80.ba1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.ba1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005656
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.n1', '40.e1', '40.bg1', '40.bj1', '40.bk1', '40.bl1', '40.bm1'], 'contains': ['160.c1', '160.m1', '160.o1', '160.ba1', '160.bb1'], 'core': '160.c1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [64801, 704811, 1856661], 'label': '640.19151.80.bb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005657
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.bf1', '40.f1', '40.bf1', '40.bg1'], 'contains': ['160.c1', '160.p1', '160.bc1'], 'core': '160.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 576071, 704811], 'label': '640.19151.80.bc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '80.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005658
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.bg1', '40.c1', '40.bh1', '40.bj1'], 'contains': ['160.c1', '160.q1'], 'core': '160.c1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 113411], 'label': '640.19151.80.bd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '80.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005660
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.bi1', '40.i1', '40.bf1', '40.bg1'], 'contains': ['160.l1', '160.m1', '160.p1', '160.bd1'], 'core': '320.b1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [577441, 576071, 704811], 'label': '640.19151.80.bf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '80.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005661
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.f1', '4.h1', '4.n1', '4.t1', '10.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 1344021, 1504171, 1984831, 576071, 64321, 576641], 'label': '640.19151.2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.f1', '4.h1', '4.n1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005662
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.d1'], 'contains': ['8.v1', '8.bb1', '8.bc1', '8.bf1', '20.u1'], 'core': '8.v1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [64801, 64321, 113211, 576641, 1504171, 1344021], 'label': '640.19151.4.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '4.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.u1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005663
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.bj1', '40.j1', '40.bf1'], 'contains': ['160.l1', '160.n1', '160.p1', '160.be1', '160.bf1'], 'core': '320.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [576871, 704811, 576641], 'label': '640.19151.80.bg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '80.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005664
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.bk1', '40.j1', '40.bg1', '40.bn1'], 'contains': ['160.l1', '160.o1', '160.p1', '160.bg1', '160.bh1'], 'core': '320.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [576871, 704811, 1856661], 'label': '640.19151.80.bh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '80.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005665
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.bl1', '40.m1', '40.bh1', '40.bj1'], 'contains': ['160.m1', '160.q1', '160.r1'], 'core': '320.b1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [577441, 624451], 'label': '640.19151.80.bi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.g1', 'old_label': '80.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bi1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005666
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.bm1', '40.o1', '40.bh1'], 'contains': ['160.n1', '160.q1', '160.r1'], 'core': '320.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [625251, 576641], 'label': '640.19151.80.bj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.g1', 'old_label': '80.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005667
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.bn1', '40.p1', '40.bi1'], 'contains': ['160.n1', '160.bi1'], 'core': '320.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1504971, 704811], 'label': '640.19151.80.bk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.p1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '80.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005668
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.bo1', '40.o1', '40.bj1', '40.bo1'], 'contains': ['160.o1', '160.q1', '160.r1'], 'core': '320.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [625251, 1856661], 'label': '640.19151.80.bl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.g1', 'old_label': '80.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005669
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.o1', '40.q1', '40.bk1', '40.bn1', '40.bo1'], 'contains': ['160.o1', '160.bj1'], 'core': '320.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1521361, 704811], 'label': '640.19151.80.bm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005670
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.bp1', '40.r1', '40.bl1', '40.bo1'], 'contains': ['160.o1', '160.bk1'], 'core': '320.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [480281, 704811], 'label': '640.19151.80.bn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.r1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.g1', 'old_label': '80.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005671
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.bq1', '40.s1', '40.bm1', '40.bn1'], 'contains': ['160.o1', '160.bl1'], 'core': '320.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [497501, 1856661], 'label': '640.19151.80.bo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.s1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '80.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bo1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005672
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.br1', '40.a1', '40.bp1', '40.bq1'], 'contains': ['160.d1', '160.s1', '160.x1'], 'core': '160.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 65031, 1984831], 'label': '640.19151.80.bp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '80.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005673
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.c1'], 'contains': ['8.w1', '8.bh1', '8.bm1', '8.bn1', '20.v1'], 'core': '8.w1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [64801, 64321, 1520561, 704811, 576071, 1856661], 'label': '640.19151.4.v1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '4.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.v1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005674
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.p1', '40.e1', '40.bp1', '40.br1', '40.bs1'], 'contains': ['160.d1', '160.t1', '160.u1', '160.y1', '160.ba1'], 'core': '160.d1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [64801, 1984831, 1856661], 'label': '640.19151.80.bq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.p1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005675
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.q1', '40.e1', '40.bq1', '40.bt1', '40.bu1'], 'contains': ['160.d1', '160.t1', '160.v1', '160.z1', '160.bb1'], 'core': '160.d1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [64801, 1984831, 576641], 'label': '640.19151.80.br1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.q1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.br1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005676
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.bs1', '40.f1', '40.bp1', '40.bq1'], 'contains': ['160.d1', '160.w1', '160.bc1'], 'core': '160.d1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 576071, 1984831], 'label': '640.19151.80.bs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.a1', 'old_label': '80.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bs1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005677
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.bt1', '40.i1', '40.bp1', '40.bq1'], 'contains': ['160.s1', '160.t1', '160.w1', '160.bd1'], 'core': '320.c1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [577441, 576071, 1984831], 'label': '640.19151.80.bt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.a1', 'old_label': '80.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bt1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005678
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.bu1', '40.j1', '40.bp1'], 'contains': ['160.s1', '160.u1', '160.w1', '160.be1', '160.bg1'], 'core': '320.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [576871, 1984831, 1856661], 'label': '640.19151.80.bu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.a1', 'old_label': '80.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bu1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005679
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.bv1', '40.j1', '40.bq1'], 'contains': ['160.s1', '160.v1', '160.w1', '160.bf1', '160.bh1'], 'core': '320.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [576871, 1984831, 576641], 'label': '640.19151.80.bv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.a1', 'old_label': '80.bv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bv1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005680
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.bw1', '40.q1', '40.br1'], 'contains': ['160.u1', '160.bj1'], 'core': '320.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1521361, 1984831], 'label': '640.19151.80.bw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.q1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '80.bw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bw1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005681
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.bx1', '40.r1', '40.bs1'], 'contains': ['160.u1', '160.bk1'], 'core': '320.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [480281, 1984831], 'label': '640.19151.80.bx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.r1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.e1', 'old_label': '80.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bx1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005682
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.by1', '40.p1', '40.bt1'], 'contains': ['160.v1', '160.bi1'], 'core': '320.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1504971, 1984831], 'label': '640.19151.80.by1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.p1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '80.by1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.by1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005683
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.bz1', '40.s1', '40.bu1'], 'contains': ['160.v1', '160.bl1'], 'core': '320.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [497501, 576641], 'label': '640.19151.80.bz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.s1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.e1', 'old_label': '80.bz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bz1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005684
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '4.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.g1'], 'contains': ['8.w1', '8.bk1', '8.bl1', '8.bo1', '20.w1'], 'core': '8.w1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [64801, 64321, 1520561, 704811, 481081, 1856661], 'label': '640.19151.4.w1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '4.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.w1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005685
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.ca1', '40.v1', '40.bf1', '40.bp1'], 'contains': ['160.x1', '160.y1', '160.bc1', '160.bd1', '160.be1'], 'core': '320.d1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [64801, 576071, 1217451], 'label': '640.19151.80.ca1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '80.ca1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.ca1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005686
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.cb1', '40.w1', '40.bf1', '40.bq1'], 'contains': ['160.x1', '160.z1', '160.bc1', '160.bd1', '160.bf1'], 'core': '320.d1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [64801, 576071, 576641], 'label': '640.19151.80.cb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '80.cb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.cb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005687
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.cc1', '40.w1', '40.bg1', '40.bp1'], 'contains': ['160.x1', '160.ba1', '160.bc1', '160.bd1', '160.bg1'], 'core': '320.d1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [64801, 576071, 1856661], 'label': '640.19151.80.cc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '80.cc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.cc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005688
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.cd1', '40.v1', '40.bg1', '40.bq1'], 'contains': ['160.x1', '160.bb1', '160.bc1', '160.bd1', '160.bh1'], 'core': '320.d1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [64801, 576071, 2497471], 'label': '640.19151.80.cd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '80.cd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.cd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005689
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.ce1', '40.ba1', '40.bi1', '40.bt1'], 'contains': ['160.z1', '160.bi1'], 'core': '320.d1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [64801, 1504171], 'label': '640.19151.80.ce1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.v1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '80.ce1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.ce1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005690
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.cf1', '40.bb1', '40.bk1', '40.br1'], 'contains': ['160.ba1', '160.bj1'], 'core': '320.d1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [64801, 1520561], 'label': '640.19151.80.cf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.w1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '80.cf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.cf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005691
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.cg1', '40.bc1', '40.bl1', '40.bs1'], 'contains': ['160.ba1', '160.bk1'], 'core': '320.d1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [64801, 481081], 'label': '640.19151.80.cg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.h1', 'old_label': '80.cg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.cg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005692
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '80.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.ch1', '40.y1', '40.bm1', '40.bu1'], 'contains': ['160.bb1', '160.bl1'], 'core': '320.d1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [64801, 496701], 'label': '640.19151.80.ch1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.i1', 'old_label': '80.ch1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.ch1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005693
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '128.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1', 'complements': ['5.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '64.b1', '64.c1', '64.d1', '64.e1', '64.f1', '64.g1', '64.h1', '64.i1', '64.j1', '64.k1'], 'contains': ['640.a1'], 'core': '128.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64321], 'label': '640.19151.128.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.a1', 'normal_contained_in': ['64.a1', '64.b1', '64.c1', '64.d1', '64.e1', '64.f1', '64.g1', '64.h1', '64.i1'], 'normal_contains': ['640.a1'], 'normalizer': '1.a1', 'old_label': '128.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005694
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '80.a1', '80.b1', '80.c1', '80.d1', '80.e1', '80.f1', '80.g1', '80.h1', '80.i1'], 'contains': ['320.a1', '320.b1', '320.c1'], 'core': '160.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1984831, 1344021], 'label': '640.19151.160.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '160.a1', 'normal_contained_in': ['32.a1', '80.a1', '80.b1', '80.c1', '80.d1'], 'normal_contains': ['320.a1', '320.b1', '320.c1'], 'normalizer': '1.a1', 'old_label': '160.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005695
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['10.a1', '10.b1', '10.c1', '10.d1', '10.e1', '10.f1', '10.g1', '10.h1'], 'core': '20.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 576071, 1504171, 113211], 'label': '640.19151.5.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '5.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005696
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.b1', '80.a1', '80.j1', '80.k1', '80.l1', '80.m1', '80.n1', '80.o1'], 'contains': ['320.a1', '320.d1'], 'core': '160.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [64801, 1344021], 'label': '640.19151.160.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '160.b1', 'normal_contained_in': ['32.b1', '80.a1'], 'normal_contains': ['320.a1', '320.d1'], 'normalizer': '1.a1', 'old_label': '160.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005697
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.f1', '80.a1', '80.z1', '80.ba1', '80.bb1', '80.bc1', '80.bd1', '80.be1'], 'contains': ['320.b1', '320.d1'], 'core': '160.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [64801, 704811], 'label': '640.19151.160.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '160.c1', 'normal_contained_in': ['32.f1', '80.a1'], 'normal_contains': ['320.b1', '320.d1'], 'normalizer': '1.a1', 'old_label': '160.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005698
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.j1', '80.a1', '80.bp1', '80.bq1', '80.br1', '80.bs1'], 'contains': ['320.c1', '320.d1'], 'core': '160.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [64801, 1984831], 'label': '640.19151.160.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '160.d1', 'normal_contained_in': ['32.j1', '80.a1'], 'normal_contains': ['320.c1', '320.d1'], 'normalizer': '1.a1', 'old_label': '160.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005699
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.r1', '80.b1', '80.j1', '80.p1', '80.q1', '80.r1'], 'contains': ['320.a1', '320.e1'], 'core': '320.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64231, 1344021], 'label': '640.19151.160.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '160.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005700
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.c1', '80.e1', '80.k1', '80.l1', '80.p1', '80.s1'], 'contains': ['320.a1', '320.f1'], 'core': '320.a1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [577441, 1344021], 'label': '640.19151.160.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '160.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005701
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1', '80.f1', '80.k1', '80.q1', '80.t1', '80.u1'], 'contains': ['320.a1', '320.g1', '320.j1'], 'core': '320.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [2497471, 1344021], 'label': '640.19151.160.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '160.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005702
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.e1', '80.f1', '80.l1', '80.r1', '80.v1', '80.w1', '80.x1', '80.y1'], 'contains': ['320.a1', '320.h1', '320.i1'], 'core': '320.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [576641, 1344021], 'label': '640.19151.160.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '160.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005703
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.s1', '80.g1', '80.m1', '80.p1', '80.q1', '80.r1'], 'contains': ['320.a1', '320.k1'], 'core': '320.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [576871, 1344021], 'label': '640.19151.160.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '160.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005704
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.t1', '80.c1', '80.n1', '80.s1', '80.t1', '80.v1'], 'contains': ['320.a1'], 'core': '320.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [112411], 'label': '640.19151.160.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '160.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005705
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.u1', '80.h1', '80.o1', '80.s1', '80.t1', '80.v1'], 'contains': ['320.a1'], 'core': '320.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [625051], 'label': '640.19151.160.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '160.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005706
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1', '4.c1'], 'contains': ['16.a1', '16.b1', '16.r1', '16.be1', '16.br1', '40.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 1984831, 1344021, 65031, 64321], 'label': '640.19151.8.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1'], 'normal_contains': ['16.a1', '16.b1', '40.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005707
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.v1', '80.b1', '80.z1', '80.bf1', '80.bg1', '80.bh1'], 'contains': ['320.b1', '320.e1'], 'core': '320.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64231, 704811], 'label': '640.19151.160.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '160.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005708
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.g1', '80.e1', '80.ba1', '80.bb1', '80.bf1', '80.bi1'], 'contains': ['320.b1', '320.f1'], 'core': '320.b1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [577441, 704811], 'label': '640.19151.160.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '160.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005709
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.h1', '80.f1', '80.ba1', '80.bg1', '80.bj1', '80.bk1'], 'contains': ['320.b1', '320.g1', '320.h1'], 'core': '320.b1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [704811, 576641], 'label': '640.19151.160.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '160.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005710
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.i1', '80.f1', '80.bb1', '80.bh1', '80.bl1', '80.bm1', '80.bn1', '80.bo1'], 'contains': ['320.b1', '320.i1', '320.j1'], 'core': '320.b1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [704811, 1856661], 'label': '640.19151.160.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '160.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005711
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.w1', '80.g1', '80.bc1', '80.bf1', '80.bg1', '80.bh1'], 'contains': ['320.b1', '320.k1'], 'core': '320.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [576871, 704811], 'label': '640.19151.160.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '160.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005712
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.x1', '80.d1', '80.bd1', '80.bi1', '80.bj1', '80.bl1'], 'contains': ['320.b1'], 'core': '320.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [112611], 'label': '640.19151.160.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '160.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005713
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.y1', '80.i1', '80.be1', '80.bi1', '80.bj1', '80.bl1'], 'contains': ['320.b1'], 'core': '320.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [625251], 'label': '640.19151.160.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.g1', 'old_label': '160.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005714
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.z1', '80.b1', '80.bp1', '80.bt1', '80.bu1', '80.bv1'], 'contains': ['320.c1', '320.e1'], 'core': '320.c1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64231, 1984831], 'label': '640.19151.160.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '160.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005715
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.k1', '80.e1', '80.bq1', '80.br1', '80.bt1'], 'contains': ['320.c1', '320.f1'], 'core': '320.c1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [577441, 1984831], 'label': '640.19151.160.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '160.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005716
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.l1', '80.f1', '80.bq1', '80.bu1', '80.bw1', '80.bx1'], 'contains': ['320.c1', '320.g1', '320.i1'], 'core': '320.c1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [1984831, 1856661], 'label': '640.19151.160.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '160.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.u1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005717
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.d1', '4.e1', '4.f1', '4.g1', '4.h1', '4.i1'], 'contains': ['16.a1', '16.c1', '16.d1', '16.j1', '16.k1', '16.m1', '16.n1', '16.p1', '16.q1', '40.e1'], 'core': '8.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 576641, 1344021, 1984831, 64321], 'label': '640.19151.8.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.d1', '4.e1', '4.f1', '4.g1', '4.h1', '4.i1'], 'normal_contains': ['16.a1', '16.c1', '16.d1', '16.j1', '16.k1', '16.m1', '16.n1', '16.p1', '16.q1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005718
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.m1', '80.f1', '80.br1', '80.bv1', '80.by1', '80.bz1'], 'contains': ['320.c1', '320.h1', '320.j1'], 'core': '320.c1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [1984831, 576641], 'label': '640.19151.160.v1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '160.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.v1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005719
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.ba1', '80.g1', '80.bs1', '80.bt1', '80.bu1', '80.bv1'], 'contains': ['320.c1', '320.k1'], 'core': '320.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [576871, 1984831], 'label': '640.19151.160.w1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.a1', 'old_label': '160.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.w1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005720
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.bb1', '80.j1', '80.z1', '80.bp1', '80.ca1', '80.cb1', '80.cc1', '80.cd1'], 'contains': ['320.d1', '320.e1'], 'core': '320.d1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [64801, 65031], 'label': '640.19151.160.x1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '160.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.x1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005721
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.n1', '80.k1', '80.ba1', '80.bq1', '80.ca1'], 'contains': ['320.d1', '320.f1', '320.g1'], 'core': '320.d1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 1217451], 'label': '640.19151.160.y1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '160.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.y1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005722
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.o1', '80.l1', '80.ba1', '80.br1', '80.cb1', '80.ce1'], 'contains': ['320.d1', '320.f1', '320.h1'], 'core': '320.d1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 576641], 'label': '640.19151.160.z1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '160.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.z1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005723
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.p1', '80.l1', '80.bb1', '80.bq1', '80.cc1', '80.cf1', '80.cg1'], 'contains': ['320.d1', '320.f1', '320.i1'], 'core': '320.d1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 1856661], 'label': '640.19151.160.ba1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.p1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '160.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.ba1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005724
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.q1', '80.k1', '80.bb1', '80.br1', '80.cd1', '80.ch1'], 'contains': ['320.d1', '320.f1', '320.j1'], 'core': '320.d1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [64801, 2497471], 'label': '640.19151.160.bb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.q1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '160.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.bb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005725
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.bc1', '80.m1', '80.bc1', '80.bs1', '80.ca1', '80.cb1', '80.cc1', '80.cd1'], 'contains': ['320.d1', '320.k1'], 'core': '320.d1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [64801, 576071], 'label': '640.19151.160.bc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '160.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.bc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005726
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['32.bd1', '80.p1', '80.bf1', '80.bt1', '80.ca1', '80.cb1', '80.cc1', '80.cd1'], 'contains': ['320.e1', '320.f1', '320.k1'], 'core': '640.a1', 'coset_action_label': None, 'count': 160, 'diagramx': None, 'generators': [577441, 576071], 'label': '640.19151.160.bd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '160.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.bd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005727
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.be1', '80.q1', '80.bg1', '80.bu1', '80.ca1'], 'contains': ['320.e1', '320.g1', '320.k1'], 'core': '640.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [576871, 1217451], 'label': '640.19151.160.be1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '160.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.be1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005728
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.j1', '4.k1'], 'contains': ['16.a1', '16.e1', '16.s1', '16.bf1', '16.bs1', '40.f1'], 'core': '8.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 1984831, 1344021, 576071, 64321], 'label': '640.19151.8.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': ['4.a1', '4.j1', '4.k1'], 'normal_contains': ['16.a1', '16.e1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005729
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.bf1', '80.r1', '80.bg1', '80.bv1', '80.cb1'], 'contains': ['320.e1', '320.h1', '320.k1'], 'core': '640.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [576871, 576641], 'label': '640.19151.160.bf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '160.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.bf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005730
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.bg1', '80.r1', '80.bh1', '80.bu1', '80.cc1'], 'contains': ['320.e1', '320.i1', '320.k1'], 'core': '640.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [576871, 1856661], 'label': '640.19151.160.bg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '160.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.bg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005731
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.bh1', '80.q1', '80.bh1', '80.bv1', '80.cd1'], 'contains': ['320.e1', '320.j1', '320.k1'], 'core': '640.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [576871, 2497471], 'label': '640.19151.160.bh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '160.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.bh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005732
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '160.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.bi1', '80.w1', '80.bk1', '80.by1', '80.ce1'], 'contains': ['320.h1'], 'core': '640.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1504971], 'label': '640.19151.160.bi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '160.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.bi1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005736
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '320.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '160.a1', '160.b1', '160.e1', '160.f1', '160.g1', '160.h1', '160.i1', '160.j1', '160.k1'], 'contains': ['640.a1'], 'core': '320.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1344021], 'label': '640.19151.320.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '320.a1', 'normal_contained_in': ['64.a1', '160.a1', '160.b1'], 'normal_contains': ['640.a1'], 'normalizer': '1.a1', 'old_label': '320.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005737
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '320.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.b1', '160.a1', '160.c1', '160.l1', '160.m1', '160.n1', '160.o1', '160.p1', '160.q1', '160.r1'], 'contains': ['640.a1'], 'core': '320.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [704811], 'label': '640.19151.320.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '320.b1', 'normal_contained_in': ['64.b1', '160.a1', '160.c1'], 'normal_contains': ['640.a1'], 'normalizer': '1.a1', 'old_label': '320.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005738
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '320.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.c1', '160.a1', '160.d1', '160.s1', '160.t1', '160.u1', '160.v1', '160.w1'], 'contains': ['640.a1'], 'core': '320.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1984831], 'label': '640.19151.320.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '320.c1', 'normal_contained_in': ['64.c1', '160.a1', '160.d1'], 'normal_contains': ['640.a1'], 'normalizer': '1.a1', 'old_label': '320.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005739
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '4.d1', '4.j1'], 'contains': ['16.a1', '16.f1', '16.t1', '40.b1'], 'core': '8.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 1984831, 64321, 113211, 1344021], 'label': '640.19151.8.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1', 'normal_contained_in': ['4.b1', '4.d1', '4.j1'], 'normal_contains': ['16.a1', '16.f1', '40.b1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005740
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '320.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['2.h1'], 'conjugacy_class_count': 4, 'contained_in': ['64.d1', '160.b1', '160.c1', '160.d1', '160.x1', '160.y1', '160.z1', '160.ba1', '160.bb1', '160.bc1'], 'contains': ['640.a1'], 'core': '320.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801], 'label': '640.19151.320.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '320.d1', 'normal_contained_in': ['64.d1', '160.b1', '160.c1', '160.d1'], 'normal_contains': ['640.a1'], 'normalizer': '1.a1', 'old_label': '320.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005741
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '320.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['64.j1', '160.e1', '160.l1', '160.s1', '160.x1', '160.bd1', '160.be1', '160.bf1', '160.bg1', '160.bh1'], 'contains': ['640.a1'], 'core': '640.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [64231], 'label': '640.19151.320.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '320.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005742
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '320.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['64.e1', '160.f1', '160.m1', '160.t1', '160.y1', '160.z1', '160.ba1', '160.bb1', '160.bd1'], 'contains': ['640.a1'], 'core': '640.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [577441], 'label': '640.19151.320.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '320.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005743
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '320.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.f1', '160.g1', '160.n1', '160.u1', '160.y1', '160.be1'], 'contains': ['640.a1'], 'core': '640.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [1217451], 'label': '640.19151.320.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '320.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005744
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '320.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.g1', '160.h1', '160.n1', '160.v1', '160.z1', '160.bf1', '160.bi1'], 'contains': ['640.a1'], 'core': '640.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [576641], 'label': '640.19151.320.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '320.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005745
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '320.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.h1', '160.h1', '160.o1', '160.u1', '160.ba1', '160.bg1', '160.bj1', '160.bk1'], 'contains': ['640.a1'], 'core': '640.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [1856661], 'label': '640.19151.320.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '320.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005746
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '320.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.i1', '160.g1', '160.o1', '160.v1', '160.bb1', '160.bh1', '160.bl1'], 'contains': ['640.a1'], 'core': '640.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [2497471], 'label': '640.19151.320.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '320.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005747
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '320.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['64.k1', '160.i1', '160.p1', '160.w1', '160.bc1', '160.bd1', '160.be1', '160.bf1', '160.bg1', '160.bh1'], 'contains': ['640.a1'], 'core': '640.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [576871], 'label': '640.19151.320.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '320.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005748
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '640.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['128.a1', '320.a1', '320.b1', '320.c1', '320.d1', '320.e1', '320.f1', '320.g1', '320.h1', '320.i1', '320.j1', '320.k1'], 'contains': [], 'core': '640.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '640.19151.640.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '640.a1', 'normal_contained_in': ['128.a1', '320.a1', '320.b1', '320.c1', '320.d1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '640.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '640.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005749
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.e1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '4.e1', '4.k1'], 'contains': ['16.a1', '16.g1', '16.bg1', '40.c1'], 'core': '8.e1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 1344021, 64321, 113411, 704811], 'label': '640.19151.8.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1', 'normal_contained_in': ['4.b1', '4.e1', '4.k1'], 'normal_contains': ['16.a1', '16.g1', '40.c1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005750
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '4.d1', '4.k1'], 'contains': ['16.a1', '16.h1', '16.u1', '40.g1'], 'core': '8.f1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 1984831, 1344021, 624251, 64321], 'label': '640.19151.8.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1', 'normal_contained_in': ['4.c1', '4.d1', '4.k1'], 'normal_contains': ['16.a1', '16.h1'], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005751
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '2.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.g1', '4.i1', '4.o1', '4.v1', '10.c1'], 'core': '2.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 1856661, 1520561, 1344021, 576071, 64321, 704811], 'label': '640.19151.2.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.g1', '4.i1', '4.o1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005752
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '4.e1', '4.j1'], 'contains': ['16.a1', '16.i1', '16.bh1', '40.h1'], 'core': '8.g1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 1344021, 704811, 624451, 64321], 'label': '640.19151.8.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': ['4.c1', '4.e1', '4.j1'], 'normal_contains': ['16.a1', '16.i1'], 'normalizer': '1.a1', 'old_label': '8.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005753
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.l1'], 'contains': ['16.b1', '16.c1', '16.e1', '16.v1', '16.bi1', '16.bt1', '40.i1'], 'core': '8.h1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [577441, 1984831, 1344021, 576071, 64321], 'label': '640.19151.8.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': ['4.a1', '4.l1'], 'normal_contains': ['16.b1', '16.c1', '16.e1'], 'normalizer': '1.a1', 'old_label': '8.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005754
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.m1', '4.n1', '4.o1'], 'contains': ['16.b1', '16.d1', '16.e1', '16.w1', '16.x1', '16.bj1', '16.bk1', '16.bu1', '16.bv1', '40.j1'], 'core': '8.i1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [576871, 576641, 1344021, 1984831, 64321], 'label': '640.19151.8.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': ['4.a1', '4.m1', '4.n1', '4.o1'], 'normal_contains': ['16.b1', '16.d1', '16.e1'], 'normalizer': '1.a1', 'old_label': '8.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005755
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1', 'complements': ['80.ce1', '80.cf1', '80.cg1', '80.ch1'], 'conjugacy_class_count': 4, 'contained_in': ['4.b1', '4.l1', '4.m1'], 'contains': ['16.b1', '16.f1', '16.g1', '40.d1'], 'core': '8.j1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [112411, 64321, 1984831, 65031, 1344021], 'label': '640.19151.8.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1', 'normal_contained_in': ['4.b1', '4.l1', '4.m1'], 'normal_contains': ['16.b1', '16.f1', '16.g1', '40.d1'], 'normalizer': '1.a1', 'old_label': '8.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005756
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': ['80.ce1', '80.cf1', '80.cg1', '80.ch1'], 'conjugacy_class_count': 4, 'contained_in': ['4.c1', '4.l1', '4.m1'], 'contains': ['16.b1', '16.h1', '16.i1', '40.k1'], 'core': '8.k1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [625051, 1984831, 1344021, 65031, 64321], 'label': '640.19151.8.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1', 'normal_contained_in': ['4.c1', '4.l1', '4.m1'], 'normal_contains': ['16.b1', '16.h1', '16.i1'], 'normalizer': '1.a1', 'old_label': '8.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005757
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '4.l1'], 'contains': ['16.c1', '16.f1', '16.h1', '16.y1', '40.l1'], 'core': '8.l1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [577441, 1984831, 1344021, 113211, 64321], 'label': '640.19151.8.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1', 'normal_contained_in': ['4.d1', '4.l1'], 'normal_contains': ['16.c1', '16.f1', '16.h1'], 'normalizer': '1.a1', 'old_label': '8.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005758
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.e1', '4.l1'], 'contains': ['16.c1', '16.g1', '16.i1', '16.bl1', '40.m1'], 'core': '8.m1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [577441, 1344021, 704811, 624451, 64321], 'label': '640.19151.8.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.m1', 'normal_contained_in': ['4.e1', '4.l1'], 'normal_contains': ['16.c1', '16.g1', '16.i1'], 'normalizer': '1.a1', 'old_label': '8.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005759
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '4.m1', '4.p1', '4.q1'], 'contains': ['16.d1', '16.f1', '16.h1', '16.z1', '16.bb1', '40.n1'], 'core': '8.n1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [112411, 576641, 1344021, 1984831, 64321], 'label': '640.19151.8.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.n1', 'normal_contained_in': ['4.d1', '4.m1', '4.p1', '4.q1'], 'normal_contains': ['16.d1', '16.f1', '16.h1'], 'normalizer': '1.a1', 'old_label': '8.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005760
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.e1', '4.m1', '4.r1', '4.s1'], 'contains': ['16.d1', '16.g1', '16.i1', '16.bm1', '16.bo1', '40.o1'], 'core': '8.o1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [625251, 1344021, 704811, 576641, 64321], 'label': '640.19151.8.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.o1', 'normal_contained_in': ['4.e1', '4.m1', '4.r1', '4.s1'], 'normal_contains': ['16.d1', '16.g1', '16.i1'], 'normalizer': '1.a1', 'old_label': '8.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005761
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.f1', '4.n1', '4.p1', '4.r1'], 'contains': ['16.d1', '16.l1', '16.bn1', '16.by1', '40.p1'], 'core': '8.p1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1504971, 1344021, 576641, 1984831, 64321], 'label': '640.19151.8.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.p1', 'normal_contained_in': ['4.f1', '4.n1', '4.p1', '4.r1'], 'normal_contains': ['16.d1', '16.l1'], 'normalizer': '1.a1', 'old_label': '8.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005762
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '2.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': ['320.k1', '320.e1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.d1', '4.f1', '4.g1', '4.p1', '4.u1', '10.d1'], 'core': '2.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 1344021, 113211, 1984831, 1504171, 64321, 576641], 'label': '640.19151.2.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.d1', '4.f1', '4.g1', '4.p1'], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005763
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.g1', '4.o1', '4.p1', '4.s1'], 'contains': ['16.d1', '16.o1', '16.bc1', '16.bw1', '40.q1'], 'core': '8.q1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1521361, 1344021, 1856661, 1984831, 64321], 'label': '640.19151.8.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.q1', 'normal_contained_in': ['4.g1', '4.o1', '4.p1', '4.s1'], 'normal_contains': ['16.d1', '16.o1'], 'normalizer': '1.a1', 'old_label': '8.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005764
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.h1', '4.n1', '4.q1', '4.s1'], 'contains': ['16.d1', '16.bd1', '16.bp1', '16.bx1', '40.r1'], 'core': '8.r1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [480281, 1344021, 1856661, 1984831, 64321], 'label': '640.19151.8.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.r1', 'normal_contained_in': ['4.h1', '4.n1', '4.q1', '4.s1'], 'normal_contains': ['16.d1'], 'normalizer': '1.a1', 'old_label': '8.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005765
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.i1', '4.o1', '4.q1', '4.r1'], 'contains': ['16.d1', '16.ba1', '16.bq1', '16.bz1', '40.s1'], 'core': '8.s1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [497501, 1344021, 2497471, 576641, 64321], 'label': '640.19151.8.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.s1', 'normal_contained_in': ['4.i1', '4.o1', '4.q1', '4.r1'], 'normal_contains': ['16.d1'], 'normalizer': '1.a1', 'old_label': '8.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005766
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': ['80.ce1', '80.cf1', '80.cg1', '80.ch1'], 'conjugacy_class_count': 4, 'contained_in': ['4.j1', '4.l1', '4.m1'], 'contains': ['16.e1', '16.f1', '16.i1', '40.t1'], 'core': '8.t1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [112411, 1984831, 1344021, 576071, 64321], 'label': '640.19151.8.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.t1', 'normal_contained_in': ['4.j1', '4.l1', '4.m1'], 'normal_contains': ['16.e1', '16.f1', '16.i1'], 'normalizer': '1.a1', 'old_label': '8.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005767
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': ['80.ce1', '80.cf1', '80.cg1', '80.ch1'], 'conjugacy_class_count': 4, 'contained_in': ['4.k1', '4.l1', '4.m1'], 'contains': ['16.e1', '16.g1', '16.h1', '40.u1'], 'core': '8.u1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [625051, 1984831, 1344021, 576071, 64321], 'label': '640.19151.8.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.u1', 'normal_contained_in': ['4.k1', '4.l1', '4.m1'], 'normal_contains': ['16.e1', '16.g1', '16.h1'], 'normalizer': '1.a1', 'old_label': '8.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.u1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005768
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.f1', '4.t1', '4.u1'], 'contains': ['16.k1', '16.l1', '16.ce1', '40.ba1'], 'core': '8.v1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 1344021, 576641, 1504171, 64321], 'label': '640.19151.8.v1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.v1', 'normal_contained_in': ['4.f1'], 'normal_contains': ['16.k1', '16.l1'], 'normalizer': '1.a1', 'old_label': '8.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.v1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005769
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.g1', '4.v1', '4.w1'], 'contains': ['16.n1', '16.o1', '16.cf1', '40.bk1'], 'core': '8.w1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 704811, 1856661, 1520561, 64321], 'label': '640.19151.8.w1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.w1', 'normal_contained_in': ['4.g1'], 'normal_contains': ['16.n1', '16.o1'], 'normalizer': '1.a1', 'old_label': '8.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.w1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005770
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.a1'], 'contains': ['16.j1', '16.r1', '16.s1', '16.v1', '16.w1', '16.ca1', '16.cd1', '40.v1'], 'core': '16.j1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 2497471, 1344021, 576071, 64321], 'label': '640.19151.8.x1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.x1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005771
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.t1'], 'contains': ['16.k1', '16.r1', '16.s1', '16.v1', '16.x1', '16.cb1', '16.cc1', '40.w1'], 'core': '16.k1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 576641, 1344021, 576071, 64321], 'label': '640.19151.8.y1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.y1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005772
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.d1'], 'contains': ['16.j1', '16.t1', '16.u1', '16.y1', '16.z1', '40.x1'], 'core': '16.j1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 2497471, 1344021, 113211, 64321], 'label': '640.19151.8.z1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.z1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005773
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '2.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': ['320.k1', '320.e1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.d1', '4.h1', '4.i1', '4.q1', '10.e1'], 'core': '2.e1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 1344021, 113211, 1984831, 481081, 64321, 1856661], 'label': '640.19151.2.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.d1', '4.h1', '4.i1', '4.q1'], 'normalizer': '1.a1', 'old_label': '2.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005774
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.i1'], 'contains': ['16.j1', '16.ba1', '16.ch1', '40.y1'], 'core': '16.j1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 1344021, 2497471, 496701, 64321], 'label': '640.19151.8.ba1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '8.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ba1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005775
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '4.u1'], 'contains': ['16.k1', '16.t1', '16.u1', '16.y1', '16.bb1', '40.z1'], 'core': '16.k1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 576641, 1344021, 113211, 64321], 'label': '640.19151.8.bb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005776
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.g1', '4.u1'], 'contains': ['16.k1', '16.bc1', '16.cf1', '40.bb1'], 'core': '16.k1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 1344021, 1856661, 1520561, 64321], 'label': '640.19151.8.bc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005777
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.h1', '4.t1'], 'contains': ['16.k1', '16.bd1', '16.cg1', '40.bc1'], 'core': '16.k1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 1344021, 1856661, 481081, 64321], 'label': '640.19151.8.bd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005778
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.n1', '4.t1'], 'contains': ['16.l1', '16.x1', '16.bd1', '40.bd1'], 'core': '16.l1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1504971, 576641, 1344021, 576071, 64321], 'label': '640.19151.8.be1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.be1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005779
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.p1', '4.u1'], 'contains': ['16.l1', '16.bb1', '16.bc1', '40.be1'], 'core': '16.l1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1504971, 576641, 1344021, 113211, 64321], 'label': '640.19151.8.bf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.p1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005780
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.a1'], 'contains': ['16.m1', '16.be1', '16.bf1', '16.bi1', '16.bj1', '16.ca1', '16.cb1', '40.bf1'], 'core': '16.m1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 704811, 576641, 576071, 64321], 'label': '640.19151.8.bg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '8.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005781
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.v1'], 'contains': ['16.n1', '16.be1', '16.bf1', '16.bi1', '16.bk1', '16.cc1', '16.cd1', '40.bg1'], 'core': '16.n1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 704811, 1856661, 576071, 64321], 'label': '640.19151.8.bh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '8.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005782
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.e1'], 'contains': ['16.m1', '16.bg1', '16.bh1', '16.bl1', '16.bm1', '40.bh1'], 'core': '16.m1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 576641, 704811, 624451, 64321], 'label': '640.19151.8.bi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '8.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bi1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005783
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.f1'], 'contains': ['16.m1', '16.bn1', '16.ce1', '40.bi1'], 'core': '16.m1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 704811, 576641, 1504171, 64321], 'label': '640.19151.8.bj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005784
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '2.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': ['320.k1', '320.e1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.e1', '4.f1', '4.i1', '4.r1', '10.f1'], 'core': '2.f1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 1344021, 1504171, 704811, 624451, 64321, 576641], 'label': '640.19151.2.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.f1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.e1', '4.f1', '4.i1', '4.r1'], 'normalizer': '1.a1', 'old_label': '2.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005785
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.e1', '4.w1'], 'contains': ['16.n1', '16.bg1', '16.bh1', '16.bl1', '16.bo1', '40.bj1'], 'core': '16.n1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 1856661, 704811, 624451, 64321], 'label': '640.19151.8.bk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '8.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005786
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.h1', '4.w1'], 'contains': ['16.n1', '16.bp1', '16.cg1', '40.bl1'], 'core': '16.n1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 704811, 1856661, 481081, 64321], 'label': '640.19151.8.bl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '8.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005787
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.i1', '4.v1'], 'contains': ['16.n1', '16.bq1', '16.ch1', '40.bm1'], 'core': '16.n1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 1856661, 2497471, 496701, 64321], 'label': '640.19151.8.bm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '8.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005788
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.o1', '4.v1'], 'contains': ['16.o1', '16.bk1', '16.bq1', '40.bn1'], 'core': '16.o1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1521361, 704811, 1856661, 576071, 64321], 'label': '640.19151.8.bn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '8.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005789
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.s1', '4.w1'], 'contains': ['16.o1', '16.bo1', '16.bp1', '40.bo1'], 'core': '16.o1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1521361, 704811, 1856661, 624451, 64321], 'label': '640.19151.8.bo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.s1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '8.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bo1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005790
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.a1'], 'contains': ['16.p1', '16.br1', '16.bs1', '16.bt1', '16.bu1', '16.ca1', '16.cc1', '40.bp1'], 'core': '16.p1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 1984831, 1856661, 576071, 64321], 'label': '640.19151.8.bp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005791
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.a1'], 'contains': ['16.q1', '16.br1', '16.bs1', '16.bt1', '16.bv1', '16.cb1', '16.cd1', '40.bq1'], 'core': '16.q1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 1984831, 576641, 576071, 64321], 'label': '640.19151.8.bq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005792
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.g1'], 'contains': ['16.p1', '16.bw1', '16.cf1', '40.br1'], 'core': '16.p1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 1984831, 1856661, 1520561, 64321], 'label': '640.19151.8.br1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.br1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005793
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.h1'], 'contains': ['16.p1', '16.bx1', '16.cg1', '40.bs1'], 'core': '16.p1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 1984831, 1856661, 481081, 64321], 'label': '640.19151.8.bs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '8.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bs1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005794
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.f1'], 'contains': ['16.q1', '16.by1', '16.ce1', '40.bt1'], 'core': '16.q1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 1984831, 576641, 1504171, 64321], 'label': '640.19151.8.bt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bt1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005795
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '2.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': ['320.k1', '320.e1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.e1', '4.g1', '4.h1', '4.s1', '4.w1', '10.g1'], 'core': '2.g1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 1856661, 1520561, 1344021, 481081, 64321, 704811], 'label': '640.19151.2.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.g1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.e1', '4.g1', '4.h1', '4.s1'], 'normalizer': '1.a1', 'old_label': '2.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005796
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '8.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.i1'], 'contains': ['16.q1', '16.bz1', '16.ch1', '40.bu1'], 'core': '16.q1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [64801, 576641, 2497471, 496701, 64321], 'label': '640.19151.8.bu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '8.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bu1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005797
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '10.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '5.a1'], 'contains': ['20.a1', '20.b1', '20.c1', '20.d1', '20.e1', '20.j1', '20.k1', '20.l1', '20.m1'], 'core': '20.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 576071, 113211, 576641], 'label': '640.19151.10.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005798
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '5.a1'], 'contains': ['20.b1', '20.f1', '20.h1', '20.n1', '20.t1'], 'core': '40.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 576071, 1504171, 1984831], 'label': '640.19151.10.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005799
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '10.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '5.a1'], 'contains': ['20.b1', '20.g1', '20.i1', '20.o1', '20.v1'], 'core': '40.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 576071, 1520561, 1344021], 'label': '640.19151.10.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005800
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '10.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1', '5.a1'], 'contains': ['20.d1', '20.f1', '20.g1', '20.p1', '20.u1'], 'core': '40.b1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 1504171, 113211, 1984831], 'label': '640.19151.10.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005801
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '10.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1', '5.a1'], 'contains': ['20.d1', '20.h1', '20.i1', '20.q1'], 'core': '40.b1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 481081, 113211], 'label': '640.19151.10.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005802
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '10.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1', '5.a1'], 'contains': ['20.e1', '20.f1', '20.i1', '20.r1'], 'core': '40.c1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 624451, 1504171], 'label': '640.19151.10.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005803
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '10.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.g1', '5.a1'], 'contains': ['20.e1', '20.g1', '20.h1', '20.s1', '20.w1'], 'core': '40.c1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [64801, 481081, 1520561, 1344021], 'label': '640.19151.10.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005804
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '10.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.e1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['2.h1', '5.a1'], 'contains': ['20.m1', '20.n1', '20.o1', '20.p1', '20.q1', '20.r1', '20.s1'], 'core': '40.d1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1504971, 576071, 113211], 'label': '640.19151.10.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005805
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1', '8.f1', '8.g1'], 'contains': ['32.a1', '32.b1', '32.f1', '32.j1', '80.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64801, 1344021, 64321, 1984831], 'label': '640.19151.16.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1', '8.f1', '8.g1'], 'normal_contains': ['32.a1', '32.b1', '32.f1', '32.j1', '80.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005806
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '2.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '80.a1', 'complements': ['320.d1', '320.f1', '320.k1', '320.e1'], 'conjugacy_class_count': 8, 'contained_in': ['1.a1'], 'contains': ['4.m1', '4.n1', '4.o1', '4.p1', '4.q1', '4.r1', '4.s1', '10.h1'], 'core': '2.h1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1504971, 1344021, 113211, 1984831, 576071, 64321, 576641], 'label': '640.19151.2.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.h1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.m1', '4.n1', '4.o1', '4.p1', '4.q1', '4.r1', '4.s1'], 'normalizer': '1.a1', 'old_label': '2.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005807
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.h1', '8.i1', '8.j1', '8.k1'], 'contains': ['32.a1', '32.r1', '32.v1', '32.z1', '80.b1'], 'core': '16.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [64231, 1344021, 64321, 1984831], 'label': '640.19151.16.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1', 'normal_contained_in': ['8.a1', '8.h1', '8.i1', '8.j1', '8.k1'], 'normal_contains': ['32.a1', '80.b1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005808
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '8.h1', '8.l1', '8.m1'], 'contains': ['32.a1', '32.c1', '32.g1', '32.k1', '80.e1'], 'core': '16.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [577441, 1344021, 64321, 1984831], 'label': '640.19151.16.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1', 'normal_contained_in': ['8.b1', '8.h1', '8.l1', '8.m1'], 'normal_contains': ['32.a1', '32.c1', '32.g1', '32.k1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005809
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '8.i1', '8.n1', '8.o1', '8.p1', '8.q1', '8.r1', '8.s1'], 'contains': ['32.a1', '32.d1', '32.e1', '32.h1', '32.i1', '32.l1', '32.m1', '80.f1'], 'core': '16.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1984831, 1344021, 64321, 576641], 'label': '640.19151.16.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1', 'normal_contained_in': ['8.b1', '8.i1', '8.n1', '8.o1', '8.p1', '8.q1', '8.r1', '8.s1'], 'normal_contains': ['32.a1', '32.d1', '32.e1', '32.h1', '32.i1', '32.l1', '32.m1'], 'normalizer': '1.a1', 'old_label': '16.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005810
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '8.h1', '8.i1', '8.t1', '8.u1'], 'contains': ['32.a1', '32.s1', '32.w1', '32.ba1', '80.g1'], 'core': '16.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [576871, 1344021, 64321, 1984831], 'label': '640.19151.16.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1', 'normal_contained_in': ['8.c1', '8.h1', '8.i1', '8.t1', '8.u1'], 'normal_contains': ['32.a1'], 'normalizer': '1.a1', 'old_label': '16.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005811
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.d1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '8.j1', '8.l1', '8.n1', '8.t1'], 'contains': ['32.a1', '32.t1', '80.c1'], 'core': '16.f1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [112411, 64321, 1344021, 1984831], 'label': '640.19151.16.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1', 'normal_contained_in': ['8.d1', '8.j1', '8.l1', '8.n1', '8.t1'], 'normal_contains': ['32.a1', '80.c1'], 'normalizer': '1.a1', 'old_label': '16.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005812
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.e1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.e1', '8.j1', '8.m1', '8.o1', '8.u1'], 'contains': ['32.a1', '32.x1', '80.d1'], 'core': '16.g1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [112611, 64321, 704811, 1344021], 'label': '640.19151.16.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1', 'normal_contained_in': ['8.e1', '8.j1', '8.m1', '8.o1', '8.u1'], 'normal_contains': ['32.a1', '80.d1'], 'normalizer': '1.a1', 'old_label': '16.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005813
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.f1', '8.k1', '8.l1', '8.n1', '8.u1'], 'contains': ['32.a1', '32.u1', '80.h1'], 'core': '16.h1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [625051, 1344021, 64321, 1984831], 'label': '640.19151.16.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.h1', 'normal_contained_in': ['8.f1', '8.k1', '8.l1', '8.n1', '8.u1'], 'normal_contains': ['32.a1'], 'normalizer': '1.a1', 'old_label': '16.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005814
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.g1', '8.k1', '8.m1', '8.o1', '8.t1'], 'contains': ['32.a1', '32.y1', '80.i1'], 'core': '16.i1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [625251, 704811, 64321, 1344021], 'label': '640.19151.16.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.i1', 'normal_contained_in': ['8.g1', '8.k1', '8.m1', '8.o1', '8.t1'], 'normal_contains': ['32.a1'], 'normalizer': '1.a1', 'old_label': '16.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005815
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '8.x1', '8.z1', '8.ba1'], 'contains': ['32.b1', '32.c1', '32.d1', '32.n1', '32.q1', '80.k1'], 'core': '16.j1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [64801, 1344021, 64321, 2497471], 'label': '640.19151.16.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.j1', 'normal_contained_in': ['8.b1'], 'normal_contains': ['32.b1', '32.c1', '32.d1', '32.n1', '32.q1'], 'normalizer': '1.a1', 'old_label': '16.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 273005816
    {'ambient': '640.19151', 'aut_centralizer_order': None, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '8.v1', '8.y1', '8.bb1', '8.bc1', '8.bd1'], 'contains': ['32.b1', '32.c1', '32.e1', '32.o1', '32.p1', '80.l1'], 'core': '16.k1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [64801, 1344021, 64321, 576641], 'label': '640.19151.16.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.k1', 'normal_contained_in': ['8.b1', '8.v1'], 'normal_contains': ['32.b1', '32.c1', '32.e1', '32.o1', '32.p1'], 'normalizer': '1.a1', 'old_label': '16.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.k1', 'subgroup_fusion': None, 'weyl_group': None}